113417988480 has 640 divisors, whose sum is σ = 430538328000. Its totient is φ = 28398698496.

The previous prime is 113417988427. The next prime is 113417988499. The reversal of 113417988480 is 84889714311.

113417988480 is a `hidden beast` number, since 1 + 13 + 4 + 1 + 79 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×113417988480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 55623301 + ... + 55625339.

Almost surely, 2^113417988480 is an apocalyptic number.

113417988480 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 113417988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215269164000).

113417988480 is an abundant number, since it is smaller than the sum of its proper divisors (317120339520).

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

113417988480 is a wasteful number, since it uses less digits than its factorization.

113417988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 113417988480 in words is "one hundred thirteen billion, four hundred seventeen million, nine hundred eighty-eight thousand, four hundred eighty".