45626416128 has 440 divisors, whose sum is σ = 141562037232. Its totient is φ = 14629994496.

The previous prime is 45626416123. The next prime is 45626416139. The reversal of 45626416128 is 82161462654.

It is a happy number.

45626416128 is a `hidden beast` number, since 4 + 5 + 6 + 26 + 4 + 1 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45626416123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426415051 + ... + 426415157.

Almost surely, 2^45626416128 is an apocalyptic number.

45626416128 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 45626416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70781018616).

45626416128 is an abundant number, since it is smaller than the sum of its proper divisors (95935621104).

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

45626416128 is a wasteful number, since it uses less digits than its factorization.

45626416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 45626416128 in words is "forty-five billion, six hundred twenty-six million, four hundred sixteen thousand, one hundred twenty-eight".