45721584000 has 320 divisors, whose sum is σ = 169816046400. Its totient is φ = 12192076800.

The previous prime is 45721583939. The next prime is 45721584043. The reversal of 45721584000 is 48512754.

45721584000 is a `hidden beast` number, since 4 + 5 + 72 + 1 + 584 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1278361 + ... + 1313639.

It is an arithmetic number, because the mean of its divisors is an integer number (530675145).

Almost surely, 2^45721584000 is an apocalyptic number.

45721584000 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 45721584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84908023200).

45721584000 is an abundant number, since it is smaller than the sum of its proper divisors (124094462400).

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

45721584000 is an equidigital number, since it uses as much as digits as its factorization.

45721584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35320 (or 35289 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 45721584000 in words is "forty-five billion, seven hundred twenty-one million, five hundred eighty-four thousand".