45508628928 has 448 divisors, whose sum is σ = 148907040768. Its totient is φ = 11990384640.

The previous prime is 45508628857. The next prime is 45508628933. The reversal of 45508628928 is 82982680554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81702826 + ... + 81703382.

Almost surely, 2^45508628928 is an apocalyptic number.

45508628928 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 45508628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74453520384).

45508628928 is an abundant number, since it is smaller than the sum of its proper divisors (103398411840).

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

45508628928 is a wasteful number, since it uses less digits than its factorization.

45508628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 45508628928 in words is "forty-five billion, five hundred eight million, six hundred twenty-eight thousand, nine hundred twenty-eight".