13850693294256 has 640 divisors, whose sum is σ = 54062179799040. Its totient is φ = 3288567693312.

The previous prime is 13850693294201. The next prime is 13850693294281. The reversal of 13850693294256 is 65249239605831.

It is a happy number.

13850693294256 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 0 + 6 + 93 + 294 + 256 = 666.

13850693294256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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 = 13850693294193 and 13850693294202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14920446 + ... + 15821538.

It is an arithmetic number, because the mean of its divisors is an integer number (84472155936).

Almost surely, 2^{13850693294256} is an apocalyptic number.

13850693294256 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 13850693294256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031089899520).

13850693294256 is an abundant number, since it is smaller than the sum of its proper divisors (40211486504784).

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

13850693294256 is a wasteful number, since it uses less digits than its factorization.

13850693294256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901170 (or 901158 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 13850693294256 in words is "thirteen trillion, eight hundred fifty billion, six hundred ninety-three million, two hundred ninety-four thousand, two hundred fifty-six".