113094219600 has 960 divisors, whose sum is σ = 432422323200. Its totient is φ = 28035072000.

The previous prime is 113094219583. The next prime is 113094219617. The reversal of 113094219600 is 6912490311.

It is a happy number.

113094219600 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 42 + 1 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (113094219583) and next prime (113094219617).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1431572361 + ... + 1431572439.

It is an arithmetic number, because the mean of its divisors is an integer number (450439920).

Almost surely, 2^113094219600 is an apocalyptic number.

113094219600 is a gapful number since it is divisible by the number (10) 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 113094219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216211161600).

113094219600 is an abundant number, since it is smaller than the sum of its proper divisors (319328103600).

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

113094219600 is a wasteful number, since it uses less digits than its factorization.

113094219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 113094219600 in words is "one hundred thirteen billion, ninety-four million, two hundred nineteen thousand, six hundred".