45294446592 has 384 divisors, whose sum is σ = 138692736000. Its totient is φ = 14600355840.

The previous prime is 45294446591. The next prime is 45294446597. The reversal of 45294446592 is 29564449254.

It is a happy number.

45294446592 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 4 + 4 + 46 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12441600) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (45294446591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325859259 + ... + 325859397.

It is an arithmetic number, because the mean of its divisors is an integer number (361179000).

Almost surely, 2^45294446592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45294446592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368000).

45294446592 is an abundant number, since it is smaller than the sum of its proper divisors (93398289408).

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

45294446592 is a wasteful number, since it uses less digits than its factorization.

45294446592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 45294446592 in words is "forty-five billion, two hundred ninety-four million, four hundred forty-six thousand, five hundred ninety-two".