45108838320 has 640 divisors, whose sum is σ = 181788364800. Its totient is φ = 8992456704.

The previous prime is 45108838289. The next prime is 45108838349. The reversal of 45108838320 is 2383880154.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44705976 + ... + 44706984.

It is an arithmetic number, because the mean of its divisors is an integer number (284044320).

Almost surely, 2^45108838320 is an apocalyptic number.

45108838320 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 45108838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90894182400).

45108838320 is an abundant number, since it is smaller than the sum of its proper divisors (136679526480).

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

45108838320 is a wasteful number, since it uses less digits than its factorization.

45108838320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 45108838320 in words is "forty-five billion, one hundred eight million, eight hundred thirty-eight thousand, three hundred twenty".