10225346976 has 72 divisors (see below), whose sum is σ = 31315136580. Its totient is φ = 3146259456.

The previous prime is 10225346917. The next prime is 10225347001. The reversal of 10225346976 is 67964352201.

10225346976 is a `hidden beast` number, since 1 + 0 + 22 + 534 + 6 + 97 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9932115600 + 293231376 = 99660^2 + 17124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361821 + ... + 1369308.

Almost surely, 2^10225346976 is an apocalyptic number.

10225346976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10225346976 is an abundant number, since it is smaller than the sum of its proper divisors (21089789604).

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

10225346976 is a wasteful number, since it uses less digits than its factorization.

10225346976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731158 (or 2731147 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10225346976 in words is "ten billion, two hundred twenty-five million, three hundred forty-six thousand, nine hundred seventy-six".