13677640238592 has 960 divisors, whose sum is σ = 46415901692160. Its totient is φ = 3982970880000.

The previous prime is 13677640238539. The next prime is 13677640238611. The reversal of 13677640238592 is 29583204677631.

It is a happy number.

13677640238592 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 7 + 6 + 4 + 0 + 2 + 38 + 592 = 666.

It is a super-2 number, since 2×13677640238592² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9961864018 + ... + 9961865390.

It is an arithmetic number, because the mean of its divisors is an integer number (48349897596).

It is a 1-persistent number, because it is pandigital, but 2⋅13677640238592 = 27355280477184 is not.

Almost surely, 2^{13677640238592} is an apocalyptic number.

13677640238592 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 13677640238592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207950846080).

13677640238592 is an abundant number, since it is smaller than the sum of its proper divisors (32738261453568).

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

13677640238592 is a wasteful number, since it uses less digits than its factorization.

13677640238592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 13677640238592 in words is "thirteen trillion, six hundred seventy-seven billion, six hundred forty million, two hundred thirty-eight thousand, five hundred ninety-two".