45853135168 has 56 divisors (see below), whose sum is σ = 94468264200. Its totient is φ = 22055835648.

The previous prime is 45853135127. The next prime is 45853135193. The reversal of 45853135168 is 86153135854.

It can be written as a sum of positive squares in 4 ways, for example, as 2334784 + 45850800384 = 1528^2 + 214128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469518 + ... + 558706.

Almost surely, 2^45853135168 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 45853135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47234132100).

45853135168 is an abundant number, since it is smaller than the sum of its proper divisors (48615129032).

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

45853135168 is a wasteful number, since it uses less digits than its factorization.

45853135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89507 (or 89497 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 49.

The spelling of 45853135168 in words is "forty-five billion, eight hundred fifty-three million, one hundred thirty-five thousand, one hundred sixty-eight".