10464034553856 has 693 divisors, whose sum is σ = 33992424860709. Its totient is φ = 3219702939648.

The previous prime is 10464034553839. The next prime is 10464034553873. The reversal of 10464034553856 is 65835543046401.

The square root of 10464034553856 is 3234816.

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

10464034553856 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 0 + 3 + 4 + 553 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10464034553839) and next prime (10464034553873).

It can be written as a sum of positive squares in only one way, i.e., 1547934105600 + 8916100448256 = 1244160^2 + 2985984^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 804925734906 + ... + 804925734918.

Almost surely, 2^{10464034553856} is an apocalyptic number.

10464034553856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10464034553856 is the 3234816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10464034553856

10464034553856 is an abundant number, since it is smaller than the sum of its proper divisors (23528390306853).

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

10464034553856 is an frugal number, since it uses more digits than its factorization.

10464034553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 10464034553856 in words is "ten trillion, four hundred sixty-four billion, thirty-four million, five hundred fifty-three thousand, eight hundred fifty-six".