14961894480 has 480 divisors, whose sum is σ = 59111752320. Its totient is φ = 3464847360.

The previous prime is 14961894443. The next prime is 14961894503. The reversal of 14961894480 is 8449816941.

It is a happy number.

14961894480 is a `hidden beast` number, since 14 + 9 + 6 + 189 + 448 + 0 = 666.

14961894480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6204475 + ... + 6206885.

It is an arithmetic number, because the mean of its divisors is an integer number (123149484).

Almost surely, 2^14961894480 is an apocalyptic number.

14961894480 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 14961894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29555876160).

14961894480 is an abundant number, since it is smaller than the sum of its proper divisors (44149857840).

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

14961894480 is a wasteful number, since it uses less digits than its factorization.

14961894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2451 counting only the distinct ones).

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

The spelling of 14961894480 in words is "fourteen billion, nine hundred sixty-one million, eight hundred ninety-four thousand, four hundred eighty".