45800044920 has 512 divisors, whose sum is σ = 186439680000. Its totient is φ = 9767526912.

The previous prime is 45800044909. The next prime is 45800044931. The reversal of 45800044920 is 2944000854.

It is an interprime number because it is at equal distance from previous prime (45800044909) and next prime (45800044931).

It is a super-2 number, since 2×45800044920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9621501 + ... + 9626259.

It is an arithmetic number, because the mean of its divisors is an integer number (364140000).

Almost surely, 2^45800044920 is an apocalyptic number.

45800044920 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 45800044920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93219840000).

45800044920 is an abundant number, since it is smaller than the sum of its proper divisors (140639635080).

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

45800044920 is a wasteful number, since it uses less digits than its factorization.

45800044920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45800044920 in words is "forty-five billion, eight hundred million, forty-four thousand, nine hundred twenty".