814100029056 has 128 divisors (see below), whose sum is σ = 2467664702400. Its totient is φ = 264032400384.

The previous prime is 814100029021. The next prime is 814100029063. The reversal of 814100029056 is 650920001418.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×814100029056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 814100029056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3055390 + ... + 3311133.

Almost surely, 2^814100029056 is an apocalyptic number.

It is an amenable number.

814100029056 is an abundant number, since it is smaller than the sum of its proper divisors (1653564673344).

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

814100029056 is a wasteful number, since it uses less digits than its factorization.

814100029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366583 (or 6366565 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 814100029056 in words is "eight hundred fourteen billion, one hundred million, twenty-nine thousand, fifty-six".