45838686208 has 288 divisors, whose sum is σ = 116240670000. Its totient is φ = 17947754496.

The previous prime is 45838686193. The next prime is 45838686233. The reversal of 45838686208 is 80268683854.

It is a Harshad number since it is a multiple of its sum of digits (58).

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 23 ways as a sum of consecutive naturals, for example, 55293538 + ... + 55294366.

Almost surely, 2^45838686208 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 45838686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58120335000).

45838686208 is an abundant number, since it is smaller than the sum of its proper divisors (70401983792).

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

45838686208 is a wasteful number, since it uses less digits than its factorization.

45838686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 45838686208 in words is "forty-five billion, eight hundred thirty-eight million, six hundred eighty-six thousand, two hundred eight".