10079253446656 has 135 divisors (see below), whose sum is σ = 21428087355129. Its totient is φ = 4739927113728.

The previous prime is 10079253446573. The next prime is 10079253446687. The reversal of 10079253446656 is 65664435297001.

The square root of 10079253446656 is 3174784.

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., 7847169638400 + 2232083808256 = 2801280^2 + 1494016^2 .

It is a super-3 number, since 3×10079253446656³ (a number of 40 digits) contains 333 as substring.

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 10079253446656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6908329255 + ... + 6908330713.

Almost surely, 2^{10079253446656} is an apocalyptic number.

10079253446656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10079253446656 is the 3174784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079253446656

10079253446656 is an abundant number, since it is smaller than the sum of its proper divisors (11348833908473).

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

10079253446656 is an frugal number, since it uses more digits than its factorization.

10079253446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 10079253446656 in words is "ten trillion, seventy-nine billion, two hundred fifty-three million, four hundred forty-six thousand, six hundred fifty-six".