45998485632 has 512 divisors, whose sum is σ = 159629184000. Its totient is φ = 12889497600.

The previous prime is 45998485597. The next prime is 45998485667. The reversal of 45998485632 is 23658489954.

45998485632 is a `hidden beast` number, since 4 + 5 + 9 + 98 + 485 + 63 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45998485597) and next prime (45998485667).

It is a self number, because there is not a number n which added to its sum of digits gives 45998485632.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31058332 + ... + 31059812.

It is an arithmetic number, because the mean of its divisors is an integer number (311775750).

Almost surely, 2^45998485632 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 45998485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79814592000).

45998485632 is an abundant number, since it is smaller than the sum of its proper divisors (113630698368).

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

45998485632 is a wasteful number, since it uses less digits than its factorization.

45998485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 45998485632 in words is "forty-five billion, nine hundred ninety-eight million, four hundred eighty-five thousand, six hundred thirty-two".