45993378816 has 792 divisors, whose sum is σ = 172991085696. Its totient is φ = 11632803840.

The previous prime is 45993378797. The next prime is 45993378817. The reversal of 45993378816 is 61887339954.

45993378816 is a `hidden beast` number, since 4 + 599 + 3 + 37 + 8 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45993378817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233468830 + ... + 233469026.

It is an arithmetic number, because the mean of its divisors is an integer number (218423088).

Almost surely, 2^45993378816 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 45993378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86495542848).

45993378816 is an abundant number, since it is smaller than the sum of its proper divisors (126997706880).

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

45993378816 is a wasteful number, since it uses less digits than its factorization.

45993378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

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

The spelling of 45993378816 in words is "forty-five billion, nine hundred ninety-three million, three hundred seventy-eight thousand, eight hundred sixteen".