14873164152 has 192 divisors, whose sum is σ = 47504620800. Its totient is φ = 3797376000.

The previous prime is 14873164139. The next prime is 14873164157. The reversal of 14873164152 is 25146137841.

It is a super-2 number, since 2×14873164152² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14873164157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193152 + ... + 1205552.

It is an arithmetic number, because the mean of its divisors is an integer number (247419900).

Almost surely, 2^14873164152 is an apocalyptic number.

14873164152 is a gapful number since it is divisible by the number (12) 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 14873164152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23752310400).

14873164152 is an abundant number, since it is smaller than the sum of its proper divisors (32631456648).

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

14873164152 is a wasteful number, since it uses less digits than its factorization.

14873164152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12483 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 14873164152 in words is "fourteen billion, eight hundred seventy-three million, one hundred sixty-four thousand, one hundred fifty-two".