45305835120 has 720 divisors, whose sum is σ = 192045645792. Its totient is φ = 9487134720.

The previous prime is 45305835083. The next prime is 45305835121. The reversal of 45305835120 is 2153850354.

45305835120 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 583 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45305835121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79344435 + ... + 79345005.

Almost surely, 2^45305835120 is an apocalyptic number.

45305835120 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 45305835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96022822896).

45305835120 is an abundant number, since it is smaller than the sum of its proper divisors (146739810672).

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

45305835120 is a wasteful number, since it uses less digits than its factorization.

45305835120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 45305835120 in words is "forty-five billion, three hundred five million, eight hundred thirty-five thousand, one hundred twenty".