23540040868864 has 297 divisors, whose sum is σ = 51912201710187. Its totient is φ = 10664351612928.

The previous prime is 23540040868859. The next prime is 23540040868921. The reversal of 23540040868864 is 46886804004532.

The square root of 23540040868864 is 4851808.

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 823302169600 + 22716738699264 = 907360^2 + 4766208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23540040868799 and 23540040868808.

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, 215963677642 + ... + 215963677750.

Almost surely, 2^{23540040868864} is an apocalyptic number.

23540040868864 is the 4851808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23540040868864

23540040868864 is an abundant number, since it is smaller than the sum of its proper divisors (28372160841323).

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

23540040868864 is an equidigital number, since it uses as much as digits as its factorization.

23540040868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 58.

The spelling of 23540040868864 in words is "twenty-three trillion, five hundred forty billion, forty million, eight hundred sixty-eight thousand, eight hundred sixty-four".