45926967168 has 256 divisors, whose sum is σ = 143924040000. Its totient is φ = 14368112640.

The previous prime is 45926967137. The next prime is 45926967173. The reversal of 45926967168 is 86176962954.

45926967168 is a `hidden beast` number, since 459 + 2 + 69 + 67 + 1 + 68 = 666.

45926967168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26378778 + ... + 26380518.

Almost surely, 2^45926967168 is an apocalyptic number.

45926967168 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 45926967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71962020000).

45926967168 is an abundant number, since it is smaller than the sum of its proper divisors (97997072832).

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

45926967168 is a wasteful number, since it uses less digits than its factorization.

45926967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2212 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 45926967168 in words is "forty-five billion, nine hundred twenty-six million, nine hundred sixty-seven thousand, one hundred sixty-eight".