113417721600 has 216 divisors, whose sum is σ = 375598220592. Its totient is φ = 30140006400.

The previous prime is 113417721553. The next prime is 113417721623. The reversal of 113417721600 is 6127714311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5615520 + ... + 5635680.

Almost surely, 2^113417721600 is an apocalyptic number.

113417721600 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 113417721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187799110296).

113417721600 is an abundant number, since it is smaller than the sum of its proper divisors (262180498992).

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

113417721600 is a wasteful number, since it uses less digits than its factorization.

113417721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20483 (or 20464 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 113417721600 in words is "one hundred thirteen billion, four hundred seventeen million, seven hundred twenty-one thousand, six hundred".