45816386228928 has 896 divisors, whose sum is σ = 158854682787840. Its totient is φ = 12839125791744.

The previous prime is 45816386228881. The next prime is 45816386228947. The reversal of 45816386228928 is 82982268361854.

45816386228928 is a `hidden beast` number, since 4 + 5 + 8 + 16 + 386 + 228 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10798109175 + ... + 10798113417.

Almost surely, 2^{45816386228928} is an apocalyptic number.

45816386228928 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 45816386228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79427341393920).

45816386228928 is an abundant number, since it is smaller than the sum of its proper divisors (113038296558912).

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

45816386228928 is a wasteful number, since it uses less digits than its factorization.

45816386228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4465 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 45816386228928 in words is "forty-five trillion, eight hundred sixteen billion, three hundred eighty-six million, two hundred twenty-eight thousand, nine hundred twenty-eight".