13957441952256 has 2400 divisors, whose sum is σ = 50979361112064. Its totient is φ = 3785663692800.

The previous prime is 13957441952243. The next prime is 13957441952263. The reversal of 13957441952256 is 65225914475931.

13957441952256 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 7 + 44 + 19 + 522 + 56 = 666.

Its product of digits (81648000) is a multiple of the sum of its prime divisors (200).

It is a junction number, because it is equal to n+sod(n) for n = 13957441952193 and 13957441952202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 168161951191 + ... + 168161951273.

Almost surely, 2^{13957441952256} is an apocalyptic number.

13957441952256 is a gapful number since it is divisible by the number (16) 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 13957441952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25489680556032).

13957441952256 is an abundant number, since it is smaller than the sum of its proper divisors (37021919159808).

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

13957441952256 is a wasteful number, since it uses less digits than its factorization.

13957441952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 13957441952256 in words is "thirteen trillion, nine hundred fifty-seven billion, four hundred forty-one million, nine hundred fifty-two thousand, two hundred fifty-six".