113151294783144 has 560 divisors, whose sum is σ = 342221133165300. Its totient is φ = 35057799376704.

The previous prime is 113151294783143. The next prime is 113151294783179. The reversal of 113151294783144 is 441387492151311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

113151294783144 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 1 + 29 + 478 + 3 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112874263092900 + 277031690244 = 10624230^2 + 526338^2 .

It is a super-2 number, since 2×113151294783144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 113151294783144 = 6042³ + 48336³ = 27189³ + 45315³.

It is not an unprimeable number, because it can be changed into a prime (113151294783143) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2134930090222 + ... + 2134930090274.

Almost surely, 2^{113151294783144} 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 113151294783144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171110566582650).

113151294783144 is an abundant number, since it is smaller than the sum of its proper divisors (229069838382156).

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

113151294783144 is an frugal number, since it uses more digits than its factorization.

113151294783144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 77 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 113151294783144 in words is "one hundred thirteen trillion, one hundred fifty-one billion, two hundred ninety-four million, seven hundred eighty-three thousand, one hundred forty-four".