10000814312576 has 64 divisors (see below), whose sum is σ = 20328910261560. Its totient is φ = 4899294412800.

The previous prime is 10000814312557. The next prime is 10000814312617. The reversal of 10000814312576 is 67521341800001.

It can be written as a sum of positive squares in 4 ways, for example, as 6280637454400 + 3720176858176 = 2506120^2 + 1928776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485255 + ... + 4498566.

Almost surely, 2^{10000814312576} is an apocalyptic number.

10000814312576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10000814312576 is an abundant number, since it is smaller than the sum of its proper divisors (10328095948984).

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

10000814312576 is an equidigital number, since it uses as much as digits as its factorization.

10000814312576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984153 (or 4984141 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10000814312576 in words is "ten trillion, eight hundred fourteen million, three hundred twelve thousand, five hundred seventy-six".