13974327392256 has 1728 divisors, whose sum is σ = 54854190649440. Its totient is φ = 3377001922560.

The previous prime is 13974327392209. The next prime is 13974327392279. The reversal of 13974327392256 is 65229372347931.

13974327392256 is a `hidden beast` number, since 1 + 3 + 97 + 432 + 7 + 3 + 92 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13974327392193 and 13974327392202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16382563926 + ... + 16382564778.

Almost surely, 2^{13974327392256} is an apocalyptic number.

13974327392256 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 13974327392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27427095324720).

13974327392256 is an abundant number, since it is smaller than the sum of its proper divisors (40879863257184).

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

13974327392256 is a wasteful number, since it uses less digits than its factorization.

13974327392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 990 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 13974327392256 in words is "thirteen trillion, nine hundred seventy-four billion, three hundred twenty-seven million, three hundred ninety-two thousand, two hundred fifty-six".