45568885824 has 448 divisors, whose sum is σ = 167956992000. Its totient is φ = 11769753600.

The previous prime is 45568885819. The next prime is 45568885877. The reversal of 45568885824 is 42858886554.

45568885824 is a `hidden beast` number, since 4 + 556 + 8 + 8 + 8 + 58 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26477284 + ... + 26479004.

It is an arithmetic number, because the mean of its divisors is an integer number (374904000).

Almost surely, 2^45568885824 is an apocalyptic number.

45568885824 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 45568885824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83978496000).

45568885824 is an abundant number, since it is smaller than the sum of its proper divisors (122388106176).

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

45568885824 is a wasteful number, since it uses less digits than its factorization.

45568885824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1943 counting only the distinct ones).

The product of its digits is 98304000, while the sum is 63.

The spelling of 45568885824 in words is "forty-five billion, five hundred sixty-eight million, eight hundred eighty-five thousand, eight hundred twenty-four".