45966768408 has 192 divisors, whose sum is σ = 142087730400. Its totient is φ = 13928682240.

The previous prime is 45966768389. The next prime is 45966768433. The reversal of 45966768408 is 80486766954.

45966768408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45966768408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106160 + ... + 2127872.

Almost surely, 2^45966768408 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 45966768408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71043865200).

45966768408 is an abundant number, since it is smaller than the sum of its proper divisors (96120961992).

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

45966768408 is a wasteful number, since it uses less digits than its factorization.

45966768408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21762 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 45966768408 in words is "forty-five billion, nine hundred sixty-six million, seven hundred sixty-eight thousand, four hundred eight".