455157338112 has 156 divisors (see below), whose sum is σ = 1339550602884. Its totient is φ = 148855848960.

The previous prime is 455157338033. The next prime is 455157338113. The reversal of 455157338112 is 211833751554.

455157338112 is a `hidden beast` number, since 4 + 55 + 157 + 338 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398292258816 + 56865079296 = 631104^2 + 238464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455157338113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1837312 + ... + 2070272.

It is an arithmetic number, because the mean of its divisors is an integer number (8586862839).

Almost surely, 2^455157338112 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 455157338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669775301442).

455157338112 is an abundant number, since it is smaller than the sum of its proper divisors (884393264772).

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

455157338112 is a wasteful number, since it uses less digits than its factorization.

455157338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233044 (or 233019 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 455157338112 in words is "four hundred fifty-five billion, one hundred fifty-seven million, three hundred thirty-eight thousand, one hundred twelve".