45405799824 has 360 divisors, whose sum is σ = 151535092800. Its totient is φ = 11671672320.

The previous prime is 45405799801. The next prime is 45405799837. The reversal of 45405799824 is 42899750454.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29312202 + ... + 29313750.

Almost surely, 2^45405799824 is an apocalyptic number.

45405799824 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 45405799824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75767546400).

45405799824 is an abundant number, since it is smaller than the sum of its proper divisors (106129292976).

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

45405799824 is a wasteful number, since it uses less digits than its factorization.

45405799824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 45405799824 in words is "forty-five billion, four hundred five million, seven hundred ninety-nine thousand, eight hundred twenty-four".