45608509152 has 108 divisors (see below), whose sum is σ = 131057873856. Its totient is φ = 15045212160.

The previous prime is 45608509127. The next prime is 45608509153. The reversal of 45608509152 is 25190580654.

45608509152 is a `hidden beast` number, since 4 + 560 + 85 + 0 + 9 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×45608509152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45608509098 and 45608509107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45608509153) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2701377 + ... + 2718207.

It is an arithmetic number, because the mean of its divisors is an integer number (1213498832).

Almost surely, 2^45608509152 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 45608509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65528936928).

45608509152 is an abundant number, since it is smaller than the sum of its proper divisors (85449364704).

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

45608509152 is a wasteful number, since it uses less digits than its factorization.

45608509152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17041 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 45608509152 in words is "forty-five billion, six hundred eight million, five hundred nine thousand, one hundred fifty-two".