10464738863328 has 96 divisors (see below), whose sum is σ = 30559792273920. Its totient is φ = 3483944887680.

The previous prime is 10464738863323. The next prime is 10464738863329. The reversal of 10464738863328 is 82336883746401.

10464738863328 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 473 + 88 + 63 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464738863323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6766600 + ... + 8168007.

It is an arithmetic number, because the mean of its divisors is an integer number (318331169520).

Almost surely, 2^{10464738863328} is an apocalyptic number.

10464738863328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10464738863328 is an abundant number, since it is smaller than the sum of its proper divisors (20095053410592).

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

10464738863328 is a wasteful number, since it uses less digits than its factorization.

10464738863328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14935437 (or 14935423 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 10464738863328 in words is "ten trillion, four hundred sixty-four billion, seven hundred thirty-eight million, eight hundred sixty-three thousand, three hundred twenty-eight".