45808297920 has 1344 divisors, whose sum is σ = 215681356800. Its totient is φ = 8629125120.

The previous prime is 45808297897. The next prime is 45808297933. The reversal of 45808297920 is 2979280854.

45808297920 is a `hidden beast` number, since 458 + 0 + 82 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109327471 + ... + 109327889.

It is an arithmetic number, because the mean of its divisors is an integer number (160477200).

Almost surely, 2^45808297920 is an apocalyptic number.

45808297920 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 45808297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107840678400).

45808297920 is an abundant number, since it is smaller than the sum of its proper divisors (169873058880).

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

45808297920 is a wasteful number, since it uses less digits than its factorization.

45808297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 45808297920 in words is "forty-five billion, eight hundred eight million, two hundred ninety-seven thousand, nine hundred twenty".