113986377192240 has 720 divisors, whose sum is σ = 456730815535488. Its totient is φ = 25390161248256.

The previous prime is 113986377192221. The next prime is 113986377192251. The reversal of 113986377192240 is 42291773689311.

113986377192240 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 8 + 6 + 377 + 19 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×113986377192240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386203764 + ... + 386498796.

Almost surely, 2^{113986377192240} is an apocalyptic number.

113986377192240 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 113986377192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228365407767744).

113986377192240 is an abundant number, since it is smaller than the sum of its proper divisors (342744438343248).

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

113986377192240 is a wasteful number, since it uses less digits than its factorization.

113986377192240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295346 (or 295330 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 113986377192240 in words is "one hundred thirteen trillion, nine hundred eighty-six billion, three hundred seventy-seven million, one hundred ninety-two thousand, two hundred forty".