45188335152 has 120 divisors (see below), whose sum is σ = 132209585664. Its totient is φ = 14380958592.

The previous prime is 45188335117. The next prime is 45188335163. The reversal of 45188335152 is 25153388154.

45188335152 is a `hidden beast` number, since 4 + 51 + 8 + 83 + 3 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45188335098 and 45188335107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1799193 + ... + 1824135.

Almost surely, 2^45188335152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45188335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66104792832).

45188335152 is an abundant number, since it is smaller than the sum of its proper divisors (87021250512).

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

45188335152 is a wasteful number, since it uses less digits than its factorization.

45188335152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25527 (or 25518 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 45188335152 in words is "forty-five billion, one hundred eighty-eight million, three hundred thirty-five thousand, one hundred fifty-two".