23119325761536 has 351 divisors, whose sum is σ = 67851079087701. Its totient is φ = 7584889208832.

The previous prime is 23119325761471. The next prime is 23119325761537. The reversal of 23119325761536 is 63516752391132.

The square root of 23119325761536 is 4808256.

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

23119325761536 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 9 + 32 + 5 + 76 + 1 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1294133760000 + 21825192001536 = 1137600^2 + 4671744^2 .

It is not an unprimeable number, because it can be changed into a prime (23119325761537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72931626850 + ... + 72931627166.

Almost surely, 2^{23119325761536} is an apocalyptic number.

23119325761536 is the 4808256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23119325761536

23119325761536 is an abundant number, since it is smaller than the sum of its proper divisors (44731753326165).

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

23119325761536 is an frugal number, since it uses more digits than its factorization.

23119325761536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 401 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 23119325761536 in words is "twenty-three trillion, one hundred nineteen billion, three hundred twenty-five million, seven hundred sixty-one thousand, five hundred thirty-six".