45450556920 has 256 divisors, whose sum is σ = 153411148800. Its totient is φ = 11968197120.

The previous prime is 45450556903. The next prime is 45450556961. The reversal of 45450556920 is 2965505454.

45450556920 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 0 + 556 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62517597 + ... + 62518323.

It is an arithmetic number, because the mean of its divisors is an integer number (599262300).

Almost surely, 2^45450556920 is an apocalyptic number.

45450556920 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 45450556920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76705574400).

45450556920 is an abundant number, since it is smaller than the sum of its proper divisors (107960591880).

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

45450556920 is a wasteful number, since it uses less digits than its factorization.

45450556920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 45450556920 in words is "forty-five billion, four hundred fifty million, five hundred fifty-six thousand, nine hundred twenty".