2256521034216 has 64 divisors (see below), whose sum is σ = 5738601355200. Its totient is φ = 739207991808.

The previous prime is 2256521034199. The next prime is 2256521034239. The reversal of 2256521034216 is 6124301256522.

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 15 ways as a sum of consecutive naturals, for example, 4629030 + ... + 5093226.

It is an arithmetic number, because the mean of its divisors is an integer number (89665646175).

Almost surely, 2^{2256521034216} 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 2256521034216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869300677600).

2256521034216 is an abundant number, since it is smaller than the sum of its proper divisors (3482080320984).

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

2256521034216 is a wasteful number, since it uses less digits than its factorization.

2256521034216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467698 (or 467694 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 2256521034216 in words is "two trillion, two hundred fifty-six billion, five hundred twenty-one million, thirty-four thousand, two hundred sixteen".