45306720748800 has 432 divisors, whose sum is σ = 189868725540480. Its totient is φ = 10355821608960.

The previous prime is 45306720748777. The next prime is 45306720748801. The reversal of 45306720748800 is 884702760354.

45306720748800 is a `hidden beast` number, since 4 + 530 + 6 + 7 + 20 + 7 + 4 + 8 + 80 + 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 (45306720748801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17518377 + ... + 19937576.

Almost surely, 2^{45306720748800} is an apocalyptic number.

45306720748800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45306720748800 is an abundant number, since it is smaller than the sum of its proper divisors (144562004791680).

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

45306720748800 is a wasteful number, since it uses less digits than its factorization.

45306720748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37455995 (or 37455970 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 45306720748800 in words is "forty-five trillion, three hundred six billion, seven hundred twenty million, seven hundred forty-eight thousand, eight hundred".