45739584000 has 480 divisors, whose sum is σ = 179747156160. Its totient is φ = 11086848000.

The previous prime is 45739583987. The next prime is 45739584029. The reversal of 45739584000 is 48593754.

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6332391 + ... + 6339609.

It is an arithmetic number, because the mean of its divisors is an integer number (374473242).

Almost surely, 2^45739584000 is an apocalyptic number.

45739584000 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 45739584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89873578080).

45739584000 is an abundant number, since it is smaller than the sum of its proper divisors (134007572160).

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

45739584000 is a wasteful number, since it uses less digits than its factorization.

45739584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45739584000 in words is "forty-five billion, seven hundred thirty-nine million, five hundred eighty-four thousand".