23649396264 has 144 divisors (see below), whose sum is σ = 71232255900. Its totient is φ = 7079933952.

The previous prime is 23649396257. The next prime is 23649396289. The reversal of 23649396264 is 46269394632.

23649396264 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 9 + 3 + 9 + 626 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2242780164 + 21406616100 = 47358^2 + 146310^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23649396264.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 423952 + ... + 476480.

Almost surely, 2^23649396264 is an apocalyptic number.

23649396264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23649396264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616127950).

23649396264 is an abundant number, since it is smaller than the sum of its proper divisors (47582859636).

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

23649396264 is a wasteful number, since it uses less digits than its factorization.

23649396264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52604 (or 52584 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 23649396264 in words is "twenty-three billion, six hundred forty-nine million, three hundred ninety-six thousand, two hundred sixty-four".