45658170720 has 480 divisors, whose sum is σ = 170814964320. Its totient is φ = 11465072640.

The previous prime is 45658170709. The next prime is 45658170721. The reversal of 45658170720 is 2707185654.

45658170720 is a `hidden beast` number, since 4 + 565 + 8 + 17 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45658170721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15407959 + ... + 15410921.

It is an arithmetic number, because the mean of its divisors is an integer number (355864509).

Almost surely, 2^45658170720 is an apocalyptic number.

45658170720 is a gapful number since it is divisible by the number (40) 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 45658170720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85407482160).

45658170720 is an abundant number, since it is smaller than the sum of its proper divisors (125156793600).

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

45658170720 is a wasteful number, since it uses less digits than its factorization.

45658170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 45658170720 in words is "forty-five billion, six hundred fifty-eight million, one hundred seventy thousand, seven hundred twenty".