45766868356800 has 504 divisors, whose sum is σ = 174406445832080. Its totient is φ = 11673862041600.

The previous prime is 45766868356789. The next prime is 45766868356819. The reversal of 45766868356800 is 865386866754.

45766868356800 is a `hidden beast` number, since 4 + 57 + 6 + 6 + 8 + 6 + 8 + 3 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×45766868356800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21851460 + ... + 23854140.

Almost surely, 2^{45766868356800} is an apocalyptic number.

45766868356800 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 45766868356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87203222916040).

45766868356800 is an abundant number, since it is smaller than the sum of its proper divisors (128639577475280).

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

45766868356800 is a wasteful number, since it uses less digits than its factorization.

45766868356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002758 (or 2002714 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 45766868356800 in words is "forty-five trillion, seven hundred sixty-six billion, eight hundred sixty-eight million, three hundred fifty-six thousand, eight hundred".