45709773120 has 672 divisors, whose sum is σ = 185049688320. Its totient is φ = 10593792000.

The previous prime is 45709773113. The next prime is 45709773199. The reversal of 45709773120 is 2137790754.

45709773120 is a `hidden beast` number, since 4 + 570 + 9 + 7 + 73 + 1 + 2 + 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24044170 + ... + 24046070.

It is an arithmetic number, because the mean of its divisors is an integer number (275371560).

Almost surely, 2^45709773120 is an apocalyptic number.

45709773120 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 45709773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92524844160).

45709773120 is an abundant number, since it is smaller than the sum of its proper divisors (139339915200).

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

45709773120 is a wasteful number, since it uses less digits than its factorization.

45709773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 45709773120 in words is "forty-five billion, seven hundred nine million, seven hundred seventy-three thousand, one hundred twenty".