10912649764900 has 81 divisors (see below), whose sum is σ = 25643153207763. Its totient is φ = 4029127502400.

The previous prime is 10912649764859. The next prime is 10912649764903. The reversal of 10912649764900 is 946794621901.

The square root of 10912649764900 is 3303430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2812751619876 + 8099898145024 = 1677126^2 + 2846032^2 .

It is not an unprimeable number, because it can be changed into a prime (10912649764903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429433195 + ... + 429458605.

Almost surely, 2^{10912649764900} is an apocalyptic number.

10912649764900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10912649764900 is the 3303430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10912649764900

10912649764900 is an abundant number, since it is smaller than the sum of its proper divisors (14730503442863).

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

10912649764900 is an frugal number, since it uses more digits than its factorization.

10912649764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50862 (or 25431 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 10912649764900 in words is "ten trillion, nine hundred twelve billion, six hundred forty-nine million, seven hundred sixty-four thousand, nine hundred".