10447556423824 has 135 divisors (see below), whose sum is σ = 22306113026379. Its totient is φ = 4738246306560.

The previous prime is 10447556423771. The next prime is 10447556423833. The reversal of 10447556423824 is 42832465574401.

The square root of 10447556423824 is 3232268.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7347027091600 + 3100529332224 = 2710540^2 + 1760832^2 .

It is a super-2 number, since 2×10447556423824² (a number of 27 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, 10252753587 + ... + 10252754605.

Almost surely, 2^{10447556423824} is an apocalyptic number.

10447556423824 is the 3232268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10447556423824

10447556423824 is an abundant number, since it is smaller than the sum of its proper divisors (11858556602555).

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

10447556423824 is an frugal number, since it uses more digits than its factorization.

10447556423824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 55.

The spelling of 10447556423824 in words is "ten trillion, four hundred forty-seven billion, five hundred fifty-six million, four hundred twenty-three thousand, eight hundred twenty-four".