45768392064 has 256 divisors, whose sum is σ = 144255744000. Its totient is φ = 14253926400.

The previous prime is 45768392027. The next prime is 45768392077. The reversal of 45768392064 is 46029386754.

45768392064 is a `hidden beast` number, since 4 + 576 + 8 + 3 + 9 + 2 + 0 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45768392064.

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, 3099579 + ... + 3114309.

It is an arithmetic number, because the mean of its divisors is an integer number (563499000).

Almost surely, 2^45768392064 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 45768392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72127872000).

45768392064 is an abundant number, since it is smaller than the sum of its proper divisors (98487351936).

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

45768392064 is a wasteful number, since it uses less digits than its factorization.

45768392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45768392064 in words is "forty-five billion, seven hundred sixty-eight million, three hundred ninety-two thousand, sixty-four".