10632909456 has 135 divisors (see below), whose sum is σ = 32271308667. Its totient is φ = 3266714880.

The previous prime is 10632909433. The next prime is 10632909461. The reversal of 10632909456 is 65490923601.

The square root of 10632909456 is 103116.

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

10632909456 is a `hidden beast` number, since 1 + 0 + 632 + 9 + 0 + 9 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61779600 + 10571129856 = 7860^2 + 102816^2 .

It is a super-2 number, since 2×10632909456² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16085766 + ... + 16086426.

Almost surely, 2^10632909456 is an apocalyptic number.

10632909456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10632909456 is the 103116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10632909456

10632909456 is an abundant number, since it is smaller than the sum of its proper divisors (21638399211).

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

10632909456 is an equidigital number, since it uses as much as digits as its factorization.

10632909456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10632909456 in words is "ten billion, six hundred thirty-two million, nine hundred nine thousand, four hundred fifty-six".