811213459056 has 2240 divisors, whose sum is σ = 3455844811776. Its totient is φ = 177367449600.

The previous prime is 811213458983. The next prime is 811213459061. The reversal of 811213459056 is 650954312118.

It is a happy number.

811213459056 is a `hidden beast` number, since 8 + 1 + 1 + 2 + 1 + 3 + 4 + 590 + 56 = 666.

It is a super-2 number, since 2×811213459056² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 12107663535 + ... + 12107663601.

Almost surely, 2^811213459056 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 811213459056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727922405888).

811213459056 is an abundant number, since it is smaller than the sum of its proper divisors (2644631352720).

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

811213459056 is a wasteful number, since it uses less digits than its factorization.

811213459056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 811213459056 in words is "eight hundred eleven billion, two hundred thirteen million, four hundred fifty-nine thousand, fifty-six".