10464892955136 has 320 divisors, whose sum is σ = 32930095017600. Its totient is φ = 3271974912000.

The previous prime is 10464892955087. The next prime is 10464892955147. The reversal of 10464892955136 is 63155929846401.

10464892955136 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 48 + 9 + 2 + 9 + 551 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26331016 + ... + 26725496.

It is an arithmetic number, because the mean of its divisors is an integer number (102906546930).

Almost surely, 2^{10464892955136} is an apocalyptic number.

10464892955136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10464892955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465047508800).

10464892955136 is an abundant number, since it is smaller than the sum of its proper divisors (22465202062464).

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

10464892955136 is a wasteful number, since it uses less digits than its factorization.

10464892955136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394628 (or 394606 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 10464892955136 in words is "ten trillion, four hundred sixty-four billion, eight hundred ninety-two million, nine hundred fifty-five thousand, one hundred thirty-six".