45716014584000 has 672 divisors, whose sum is σ = 176528429101440. Its totient is φ = 11258784768000.

The previous prime is 45716014583999. The next prime is 45716014584043. The reversal of 45716014584000 is 48541061754.

45716014584000 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 60 + 1 + 4 + 584 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47548030 + ... + 48499970.

Almost surely, 2^{45716014584000} is an apocalyptic number.

45716014584000 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 45716014584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88264214550720).

45716014584000 is an abundant number, since it is smaller than the sum of its proper divisors (130812414517440).

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

45716014584000 is a wasteful number, since it uses less digits than its factorization.

45716014584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952026 (or 952003 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 45716014584000 in words is "forty-five trillion, seven hundred sixteen billion, fourteen million, five hundred eighty-four thousand".