113221616292 has 240 divisors, whose sum is σ = 325247674752. Its totient is φ = 34200714240.

The previous prime is 113221616267. The next prime is 113221616359. The reversal of 113221616292 is 292616122311.

113221616292 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 21 + 6 + 1 + 629 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16812558 + ... + 16819290.

Almost surely, 2^113221616292 is an apocalyptic number.

113221616292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113221616292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162623837376).

113221616292 is an abundant number, since it is smaller than the sum of its proper divisors (212026058460).

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

113221616292 is a wasteful number, since it uses less digits than its factorization.

113221616292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6869 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 113221616292 in words is "one hundred thirteen billion, two hundred twenty-one million, six hundred sixteen thousand, two hundred ninety-two".