45989051904 has 480 divisors, whose sum is σ = 147459312000. Its totient is φ = 13739507712.

The previous prime is 45989051897. The next prime is 45989051921. The reversal of 45989051904 is 40915098954.

45989051904 is a `hidden beast` number, since 45 + 9 + 89 + 0 + 519 + 0 + 4 = 666.

It is a super-2 number, since 2×45989051904² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149801319 + ... + 149801625.

It is an arithmetic number, because the mean of its divisors is an integer number (307206900).

Almost surely, 2^45989051904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45989051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73729656000).

45989051904 is an abundant number, since it is smaller than the sum of its proper divisors (101470260096).

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

45989051904 is a wasteful number, since it uses less digits than its factorization.

45989051904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 45989051904 in words is "forty-five billion, nine hundred eighty-nine million, fifty-one thousand, nine hundred four".