45988828032 has 128 divisors (see below), whose sum is σ = 140141928960. Its totient is φ = 13089503232.

The previous prime is 45988828021. The next prime is 45988828051. The reversal of 45988828032 is 23082888954.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45988828032² (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 15 ways as a sum of consecutive naturals, for example, 674418 + ... + 739470.

It is an arithmetic number, because the mean of its divisors is an integer number (1094858820).

Almost surely, 2^45988828032 is an apocalyptic number.

45988828032 is a gapful number since it is divisible by the number (42) 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 45988828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70070964480).

45988828032 is an abundant number, since it is smaller than the sum of its proper divisors (94153100928).

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

45988828032 is a wasteful number, since it uses less digits than its factorization.

45988828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65340 (or 65328 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 45988828032 in words is "forty-five billion, nine hundred eighty-eight million, eight hundred twenty-eight thousand, thirty-two".