45838537920 has 336 divisors, whose sum is σ = 184587294528. Its totient is φ = 10221649920.

The previous prime is 45838537919. The next prime is 45838537933. The reversal of 45838537920 is 2973583854.

45838537920 is a `hidden beast` number, since 4 + 5 + 83 + 8 + 537 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 798832 + ... + 854288.

It is an arithmetic number, because the mean of its divisors is an integer number (549366948).

Almost surely, 2^45838537920 is an apocalyptic number.

45838537920 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 45838537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92293647264).

45838537920 is an abundant number, since it is smaller than the sum of its proper divisors (138748756608).

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

45838537920 is a wasteful number, since it uses less digits than its factorization.

45838537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55528 (or 55515 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45838537920 in words is "forty-five billion, eight hundred thirty-eight million, five hundred thirty-seven thousand, nine hundred twenty".