113243202144 has 288 divisors, whose sum is σ = 356209176960. Its totient is φ = 35265964032.

The previous prime is 113243202047. The next prime is 113243202167. The reversal of 113243202144 is 441202342311.

113243202144 is a `hidden beast` number, since 1 + 1 + 324 + 320 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18371607 + ... + 18377769.

It is an arithmetic number, because the mean of its divisors is an integer number (1236837420).

Almost surely, 2^113243202144 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 113243202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178104588480).

113243202144 is an abundant number, since it is smaller than the sum of its proper divisors (242965974816).

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

113243202144 is a wasteful number, since it uses less digits than its factorization.

113243202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 113243202144 its reverse (441202342311), we get a palindrome (554445544455).

The spelling of 113243202144 in words is "one hundred thirteen billion, two hundred forty-three million, two hundred two thousand, one hundred forty-four".