45595706112 has 720 divisors, whose sum is σ = 157327742880. Its totient is φ = 13005619200.

The previous prime is 45595706111. The next prime is 45595706147. The reversal of 45595706112 is 21160759554.

It is a happy number.

45595706112 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 570 + 61 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (45595706111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 403501768 + ... + 403501880.

It is an arithmetic number, because the mean of its divisors is an integer number (218510754).

Almost surely, 2^45595706112 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 45595706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78663871440).

45595706112 is an abundant number, since it is smaller than the sum of its proper divisors (111732036768).

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

45595706112 is a wasteful number, since it uses less digits than its factorization.

45595706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 45595706112 in words is "forty-five billion, five hundred ninety-five million, seven hundred six thousand, one hundred twelve".