10325811456 has 243 divisors, whose sum is σ = 31262044359. Its totient is φ = 3277725696.

The previous prime is 10325811451. The next prime is 10325811467. The reversal of 10325811456 is 65411852301.

The square root of 10325811456 is 101616.

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

10325811456 is a `hidden beast` number, since 1 + 0 + 32 + 581 + 1 + 45 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87609600 + 10238201856 = 9360^2 + 101184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10325811456.

It is not an unprimeable number, because it can be changed into a prime (10325811451) 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, 141449436 + ... + 141449508.

Almost surely, 2^10325811456 is an apocalyptic number.

10325811456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10325811456 is the 101616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10325811456

10325811456 is an abundant number, since it is smaller than the sum of its proper divisors (20936232903).

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

10325811456 is an frugal number, since it uses more digits than its factorization.

10325811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 10325811456 by its sum of digits (36), we get a square (371729212416 = 609696²).

10325811456 divided by its sum of digits (36) gives a square (286828096 = 16936²).

The spelling of 10325811456 in words is "ten billion, three hundred twenty-five million, eight hundred eleven thousand, four hundred fifty-six".