45839974400 has 192 divisors, whose sum is σ = 124040453760. Its totient is φ = 16665804800.

The previous prime is 45839974391. The next prime is 45839974403. The reversal of 45839974400 is 447993854.

It is not an unprimeable number, because it can be changed into a prime (45839974403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9008657 + ... + 9013743.

It is an arithmetic number, because the mean of its divisors is an integer number (646044030).

Almost surely, 2^45839974400 is an apocalyptic number.

45839974400 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 45839974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62020226880).

45839974400 is an abundant number, since it is smaller than the sum of its proper divisors (78200479360).

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

45839974400 is an equidigital number, since it uses as much as digits as its factorization.

45839974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 45839974400 in words is "forty-five billion, eight hundred thirty-nine million, nine hundred seventy-four thousand, four hundred".