113730493680 has 360 divisors, whose sum is σ = 415660989744. Its totient is φ = 27845836800.

The previous prime is 113730493661. The next prime is 113730493687. The reversal of 113730493680 is 86394037311.

113730493680 is a `hidden beast` number, since 1 + 13 + 73 + 0 + 493 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113730493687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8524615 + ... + 8537945.

Almost surely, 2^113730493680 is an apocalyptic number.

113730493680 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 113730493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207830494872).

113730493680 is an abundant number, since it is smaller than the sum of its proper divisors (301930496064).

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

113730493680 is a wasteful number, since it uses less digits than its factorization.

113730493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13425 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 113730493680 in words is "one hundred thirteen billion, seven hundred thirty million, four hundred ninety-three thousand, six hundred eighty".