13807016903232 has 672 divisors, whose sum is σ = 50842172534400. Its totient is φ = 3649859813376.

The previous prime is 13807016903213. The next prime is 13807016903257. The reversal of 13807016903232 is 23230961070831.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13807016903232² (a number of 27 digits) contains 22 as substring.

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, 84844728 + ... + 85007304.

Almost surely, 2^{13807016903232} is an apocalyptic number.

13807016903232 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 13807016903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25421086267200).

13807016903232 is an abundant number, since it is smaller than the sum of its proper divisors (37035155631168).

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

13807016903232 is a wasteful number, since it uses less digits than its factorization.

13807016903232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162688 (or 162665 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13807016903232 in words is "thirteen trillion, eight hundred seven billion, sixteen million, nine hundred three thousand, two hundred thirty-two".