113676192249984 has 1536 divisors, whose sum is σ = 427043397715200. Its totient is φ = 29871097159680.

The previous prime is 113676192249967. The next prime is 113676192249989. The reversal of 113676192249984 is 489942291676311.

113676192249984 is a `hidden beast` number, since 1 + 1 + 36 + 7 + 6 + 1 + 9 + 22 + 499 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (113676192249989) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56527195539 + ... + 56527197549.

Almost surely, 2^{113676192249984} is an apocalyptic number.

113676192249984 is a gapful number since it is divisible by the number (14) 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 113676192249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213521698857600).

113676192249984 is an abundant number, since it is smaller than the sum of its proper divisors (313367205465216).

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

113676192249984 is an equidigital number, since it uses as much as digits as its factorization.

113676192249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2353 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 113676192249984 in words is "one hundred thirteen trillion, six hundred seventy-six billion, one hundred ninety-two million, two hundred forty-nine thousand, nine hundred eighty-four".