45478375824 has 320 divisors, whose sum is σ = 145630679040. Its totient is φ = 11943106560.

The previous prime is 45478375807. The next prime is 45478375897. The reversal of 45478375824 is 42857387454.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68802054 + ... + 68802714.

It is an arithmetic number, because the mean of its divisors is an integer number (455095872).

Almost surely, 2^45478375824 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 45478375824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72815339520).

45478375824 is an abundant number, since it is smaller than the sum of its proper divisors (100152303216).

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

45478375824 is a wasteful number, since it uses less digits than its factorization.

45478375824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 57.

The spelling of 45478375824 in words is "forty-five billion, four hundred seventy-eight million, three hundred seventy-five thousand, eight hundred twenty-four".