45832879584 has 144 divisors (see below), whose sum is σ = 131242954752. Its totient is φ = 15171842304.

The previous prime is 45832879577. The next prime is 45832879613. The reversal of 45832879584 is 48597823854.

45832879584 is a `hidden beast` number, since 45 + 8 + 3 + 2 + 8 + 7 + 9 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45832879584² (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 23 ways as a sum of consecutive naturals, for example, 41552377 + ... + 41553479.

It is an arithmetic number, because the mean of its divisors is an integer number (911409408).

Almost surely, 2^45832879584 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 45832879584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65621477376).

45832879584 is an abundant number, since it is smaller than the sum of its proper divisors (85410075168).

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

45832879584 is a wasteful number, since it uses less digits than its factorization.

45832879584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 45832879584 in words is "forty-five billion, eight hundred thirty-two million, eight hundred seventy-nine thousand, five hundred eighty-four".