45190533120 has 416 divisors, whose sum is σ = 150718593792. Its totient is φ = 11551113216.

The previous prime is 45190533103. The next prime is 45190533161. The reversal of 45190533120 is 2133509154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234147744 + ... + 234147936.

It is an arithmetic number, because the mean of its divisors is an integer number (362304312).

Almost surely, 2^45190533120 is an apocalyptic number.

45190533120 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 45190533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75359296896).

45190533120 is an abundant number, since it is smaller than the sum of its proper divisors (105528060672).

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

45190533120 is a wasteful number, since it uses less digits than its factorization.

45190533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 45190533120 in words is "forty-five billion, one hundred ninety million, five hundred thirty-three thousand, one hundred twenty".