45668793600 has 432 divisors, whose sum is σ = 168862525440. Its totient is φ = 12076646400.

The previous prime is 45668793563. The next prime is 45668793601. The reversal of 45668793600 is 639786654.

45668793600 is a `hidden beast` number, since 4 + 566 + 8 + 79 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45668793601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21944560 + ... + 21946640.

Almost surely, 2^45668793600 is an apocalyptic number.

45668793600 is a gapful number since it is divisible by the number (40) 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 45668793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84431262720).

45668793600 is an abundant number, since it is smaller than the sum of its proper divisors (123193731840).

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

45668793600 is a wasteful number, since it uses less digits than its factorization.

45668793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 45668793600 in words is "forty-five billion, six hundred sixty-eight million, seven hundred ninety-three thousand, six hundred".