24225150564 has 18 divisors (see below), whose sum is σ = 61235797350. Its totient is φ = 8075050176.

The previous prime is 24225150553. The next prime is 24225150583. The reversal of 24225150564 is 46505152242.

24225150564 is a `hidden beast` number, since 2 + 42 + 2 + 5 + 1 + 50 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24223809600 + 1340964 = 155640^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 672920849 = 24225150564 / (2 + 4 + 2 + 2 + 5 + 1 + 5 + 0 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336460389 + ... + 336460460.

Almost surely, 2^24225150564 is an apocalyptic number.

It is an amenable number.

24225150564 is an abundant number, since it is smaller than the sum of its proper divisors (37010646786).

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

24225150564 is a wasteful number, since it uses less digits than its factorization.

24225150564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672920859 (or 672920854 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 24225150564 in words is "twenty-four billion, two hundred twenty-five million, one hundred fifty thousand, five hundred sixty-four".