45590452242324 has 288 divisors, whose sum is σ = 125149923763200. Its totient is φ = 12861592043520.

The previous prime is 45590452242187. The next prime is 45590452242337. The reversal of 45590452242324 is 42324225409554.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5744036884 + ... + 5744044820.

It is an arithmetic number, because the mean of its divisors is an integer number (434548346400).

Almost surely, 2^{45590452242324} is an apocalyptic number.

45590452242324 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 45590452242324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62574961881600).

45590452242324 is an abundant number, since it is smaller than the sum of its proper divisors (79559471520876).

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

45590452242324 is a wasteful number, since it uses less digits than its factorization.

45590452242324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 51.

The spelling of 45590452242324 in words is "forty-five trillion, five hundred ninety billion, four hundred fifty-two million, two hundred forty-two thousand, three hundred twenty-four".