23145362496 has 105 divisors (see below), whose sum is σ = 68642591061. Its totient is φ = 7711469568.

The previous prime is 23145362489. The next prime is 23145362501. The reversal of 23145362496 is 69426354132.

The square root of 23145362496 is 152136.

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

23145362496 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 536 + 24 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 23123460096 = 4680^2 + 152064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10952736 + ... + 10954848.

Almost surely, 2^23145362496 is an apocalyptic number.

23145362496 is the 152136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145362496

23145362496 is an abundant number, since it is smaller than the sum of its proper divisors (45497228565).

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

23145362496 is an frugal number, since it uses more digits than its factorization.

23145362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 2118 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

It can be divided in two parts, 23145 and 362496, that added together give a square (385641 = 621²).

The spelling of 23145362496 in words is "twenty-three billion, one hundred forty-five million, three hundred sixty-two thousand, four hundred ninety-six".