249326413088256 has 960 divisors, whose sum is σ = 872644547174400. Its totient is φ = 67013125079040.

The previous prime is 249326413088189. The next prime is 249326413088273. The reversal of 249326413088256 is 652880314623942.

249326413088256 is a `hidden beast` number, since 2 + 4 + 9 + 32 + 6 + 41 + 308 + 8 + 256 = 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 = 249326413088193 and 249326413088202.

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, 51759684760 + ... + 51759689576.

It is an arithmetic number, because the mean of its divisors is an integer number (909004736640).

Almost surely, 2^{249326413088256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249326413088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436322273587200).

249326413088256 is an abundant number, since it is smaller than the sum of its proper divisors (623318134086144).

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

249326413088256 is a wasteful number, since it uses less digits than its factorization.

249326413088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 249326413088256 in words is "two hundred forty-nine trillion, three hundred twenty-six billion, four hundred thirteen million, eighty-eight thousand, two hundred fifty-six".