23593441006864 has 135 divisors (see below), whose sum is σ = 49410725852943. Its totient is φ = 10911456691200.

The previous prime is 23593441006843. The next prime is 23593441006873. The reversal of 23593441006864 is 46860014439532.

It is a happy number.

The square root of 23593441006864 is 4857308.

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 2176982211600 + 21416458795264 = 1475460^2 + 4627792^2 .

It is a super-2 number, since 2×23593441006864² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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, 20148112999 + ... + 20148114169.

Almost surely, 2^{23593441006864} is an apocalyptic number.

23593441006864 is the 4857308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23593441006864

23593441006864 is an abundant number, since it is smaller than the sum of its proper divisors (25817284846079).

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

23593441006864 is an frugal number, since it uses more digits than its factorization.

23593441006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 23593441006864 in words is "twenty-three trillion, five hundred ninety-three billion, four hundred forty-one million, six thousand, eight hundred sixty-four".