45706788864 has 600 divisors, whose sum is σ = 155293560576. Its totient is φ = 13271040000.

The previous prime is 45706788821. The next prime is 45706788887. The reversal of 45706788864 is 46888760754.

It is a super-2 number, since 2×45706788864² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452542414 + ... + 452542514.

Almost surely, 2^45706788864 is an apocalyptic number.

45706788864 is a gapful number since it is divisible by the number (44) 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 45706788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77646780288).

45706788864 is an abundant number, since it is smaller than the sum of its proper divisors (109586771712).

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

45706788864 is a wasteful number, since it uses less digits than its factorization.

45706788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 45706788864 in words is "forty-five billion, seven hundred six million, seven hundred eighty-eight thousand, eight hundred sixty-four".