45524312064000 has 3672 divisors, whose sum is σ = 214097734110624. Its totient is φ = 9459597312000.

The previous prime is 45524312063969. The next prime is 45524312064019. The reversal of 45524312064000 is 46021342554.

45524312064000 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 4 + 3 + 1 + 2 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4138573823995 + ... + 4138573824005.

Almost surely, 2^{45524312064000} is an apocalyptic number.

45524312064000 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 45524312064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107048867055312).

45524312064000 is an abundant number, since it is smaller than the sum of its proper divisors (168573422046624).

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

45524312064000 is an frugal number, since it uses more digits than its factorization.

45524312064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45524312064000 in words is "forty-five trillion, five hundred twenty-four billion, three hundred twelve million, sixty-four thousand".