45133111296 has 756 divisors, whose sum is σ = 168767541306. Its totient is φ = 11519262720.

The previous prime is 45133111237. The next prime is 45133111297. The reversal of 45133111296 is 69211133154.

45133111296 is a `hidden beast` number, since 4 + 51 + 3 + 311 + 1 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43397222400 + 1735888896 = 208320^2 + 41664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45133111296.

It is not an unprimeable number, because it can be changed into a prime (45133111297) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1455906801 + ... + 1455906831.

Almost surely, 2^45133111296 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 45133111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84383770653).

45133111296 is an abundant number, since it is smaller than the sum of its proper divisors (123634430010).

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

45133111296 is a wasteful number, since it uses less digits than its factorization.

45133111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 56 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 45133111296 in words is "forty-five billion, one hundred thirty-three million, one hundred eleven thousand, two hundred ninety-six".