45854189911296 has 720 divisors, whose sum is σ = 155157069168640. Its totient is φ = 13352544092160.

The previous prime is 45854189911289. The next prime is 45854189911303. The reversal of 45854189911296 is 69211998145854.

It is a happy number.

45854189911296 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 418 + 9 + 9 + 112 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (45854189911289) and next prime (45854189911303).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5598114561 + ... + 5598122751.

Almost surely, 2^{45854189911296} 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 45854189911296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77578534584320).

45854189911296 is an abundant number, since it is smaller than the sum of its proper divisors (109302879257344).

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

45854189911296 is a wasteful number, since it uses less digits than its factorization.

45854189911296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9321 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 72.

The spelling of 45854189911296 in words is "forty-five trillion, eight hundred fifty-four billion, one hundred eighty-nine million, nine hundred eleven thousand, two hundred ninety-six".