14948984160 has 480 divisors, whose sum is σ = 60593702400. Its totient is φ = 3432637440.

The previous prime is 14948984137. The next prime is 14948984161. The reversal of 14948984160 is 6148984941.

It is a happy number.

14948984160 is a `hidden beast` number, since 1 + 494 + 8 + 98 + 4 + 1 + 60 = 666.

14948984160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×14948984160⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14948984097 and 14948984106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14948984161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2705881 + ... + 2711399.

It is an arithmetic number, because the mean of its divisors is an integer number (126236880).

Almost surely, 2^14948984160 is an apocalyptic number.

14948984160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14948984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296851200).

14948984160 is an abundant number, since it is smaller than the sum of its proper divisors (45644718240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14948984160 is a wasteful number, since it uses less digits than its factorization.

14948984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14948984160 in words is "fourteen billion, nine hundred forty-eight million, nine hundred eighty-four thousand, one hundred sixty".