13958112739752 has 48 divisors (see below), whose sum is σ = 37936802348640. Its totient is φ = 4636263588768.

The previous prime is 13958112739693. The next prime is 13958112739793. The reversal of 13958112739752 is 25793721185931.

13958112739752 is a `hidden beast` number, since 1 + 3 + 9 + 581 + 12 + 7 + 39 + 7 + 5 + 2 = 666.

It is a super-3 number, since 3×13958112739752³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13958112739752.

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 11 ways as a sum of consecutive naturals, for example, 342493188 + ... + 342533939.

It is an arithmetic number, because the mean of its divisors is an integer number (790350048930).

Almost surely, 2^{13958112739752} is an apocalyptic number.

13958112739752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13958112739752 is an abundant number, since it is smaller than the sum of its proper divisors (23978689608888).

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

13958112739752 is a wasteful number, since it uses less digits than its factorization.

13958112739752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685027422 (or 685027415 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 63.

The spelling of 13958112739752 in words is "thirteen trillion, nine hundred fifty-eight billion, one hundred twelve million, seven hundred thirty-nine thousand, seven hundred fifty-two".