45005792832 has 1344 divisors, whose sum is σ = 186391296000. Its totient is φ = 10607708160.

The previous prime is 45005792827. The next prime is 45005792929. The reversal of 45005792832 is 23829750054.

45005792832 is a `hidden beast` number, since 4 + 50 + 0 + 579 + 28 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 762810019 + ... + 762810077.

It is an arithmetic number, because the mean of its divisors is an integer number (138684000).

Almost surely, 2^45005792832 is an apocalyptic number.

45005792832 is a gapful number since it is divisible by the number (42) 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 45005792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648000).

45005792832 is an abundant number, since it is smaller than the sum of its proper divisors (141385503168).

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

45005792832 is a wasteful number, since it uses less digits than its factorization.

45005792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

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

The spelling of 45005792832 in words is "forty-five billion, five million, seven hundred ninety-two thousand, eight hundred thirty-two".