113142720456 has 384 divisors, whose sum is σ = 348641280000. Its totient is φ = 33867590400.

The previous prime is 113142720413. The next prime is 113142720461. The reversal of 113142720456 is 654027241311.

113142720456 is a `hidden beast` number, since 1 + 131 + 4 + 2 + 72 + 0 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113142720456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 473400385 + ... + 473400623.

It is an arithmetic number, because the mean of its divisors is an integer number (907920000).

Almost surely, 2^113142720456 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 113142720456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174320640000).

113142720456 is an abundant number, since it is smaller than the sum of its proper divisors (235498559544).

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

113142720456 is a wasteful number, since it uses less digits than its factorization.

113142720456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 113142720456 its reverse (654027241311), we get a palindrome (767169961767).

The spelling of 113142720456 in words is "one hundred thirteen billion, one hundred forty-two million, seven hundred twenty thousand, four hundred fifty-six".