45845649024 has 512 divisors, whose sum is σ = 157925376000. Its totient is φ = 11477790720.

The previous prime is 45845649013. The next prime is 45845649049. The reversal of 45845649024 is 42094654854.

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, 36413707 + ... + 36414965.

It is an arithmetic number, because the mean of its divisors is an integer number (308448000).

Almost surely, 2^45845649024 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 45845649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962688000).

45845649024 is an abundant number, since it is smaller than the sum of its proper divisors (112079726976).

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

45845649024 is a wasteful number, since it uses less digits than its factorization.

45845649024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 45845649024 in words is "forty-five billion, eight hundred forty-five million, six hundred forty-nine thousand, twenty-four".