23240392704 has 135 divisors (see below), whose sum is σ = 67306399797. Its totient is φ = 7727284224.

The previous prime is 23240392663. The next prime is 23240392717. The reversal of 23240392704 is 40729304232.

It is a happy number.

The square root of 23240392704 is 152448.

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

23240392704 is a `hidden beast` number, since 23 + 240 + 392 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15575040000 + 7665352704 = 124800^2 + 87552^2 .

It is a super-2 number, since 2×23240392704² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58539834 + ... + 58540230.

Almost surely, 2^23240392704 is an apocalyptic number.

23240392704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23240392704 is the 152448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240392704

23240392704 is an abundant number, since it is smaller than the sum of its proper divisors (44066007093).

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

23240392704 is an frugal number, since it uses more digits than its factorization.

23240392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 23240392704 by its sum of digits (36), we get a square (836654137344 = 914688²).

23240392704 divided by its sum of digits (36) gives a square (645566464 = 25408²).

Adding to 23240392704 its reverse (40729304232), we get a palindrome (63969696936).

The spelling of 23240392704 in words is "twenty-three billion, two hundred forty million, three hundred ninety-two thousand, seven hundred four".