45586132128 has 384 divisors, whose sum is σ = 148925952000. Its totient is φ = 13481717760.

The previous prime is 45586132087. The next prime is 45586132169. The reversal of 45586132128 is 82123168554.

45586132128 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 613 + 2 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (45586132087) and next prime (45586132169).

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, 105768073 + ... + 105768503.

It is an arithmetic number, because the mean of its divisors is an integer number (387828000).

Almost surely, 2^45586132128 is an apocalyptic number.

45586132128 is a gapful number since it is divisible by the number (48) 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 45586132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976000).

45586132128 is an abundant number, since it is smaller than the sum of its proper divisors (103339819872).

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

45586132128 is a wasteful number, since it uses less digits than its factorization.

45586132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 851 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 45586132128 in words is "forty-five billion, five hundred eighty-six million, one hundred thirty-two thousand, one hundred twenty-eight".