10326479418256 has 45 divisors (see below), whose sum is σ = 20443499814481. Its totient is φ = 5053087904576.

The previous prime is 10326479418251. The next prime is 10326479418259. The reversal of 10326479418256 is 65281497462301.

The square root of 10326479418256 is 3213484.

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

It can be written as a sum of positive squares in only one way, i.e., 5678212410000 + 4648267008256 = 2382900^2 + 2155984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10326479418256.

It is not an unprimeable number, because it can be changed into a prime (10326479418251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 604126446 + ... + 604143538.

It is a 1-persistent number, because it is pandigital, but 2⋅10326479418256 = 20652958836512 is not.

Almost surely, 2^{10326479418256} is an apocalyptic number.

10326479418256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10326479418256 is the 3213484-th square number.

It is an amenable number.

10326479418256 is a deficient number, since it is larger than the sum of its proper divisors (10117020396225).

10326479418256 is an frugal number, since it uses more digits than its factorization.

10326479418256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34288 (or 17142 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 10326479418256 in words is "ten trillion, three hundred twenty-six billion, four hundred seventy-nine million, four hundred eighteen thousand, two hundred fifty-six".