113038179840 has 480 divisors, whose sum is σ = 406482126336. Its totient is φ = 29009756160.

The previous prime is 113038179803. The next prime is 113038179847. The reversal of 113038179840 is 48971830311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×113038179840³ (a number of 34 digits) contains 333 as substring.

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 (113038179847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70340317 + ... + 70341923.

Almost surely, 2^113038179840 is an apocalyptic number.

113038179840 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 113038179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203241063168).

113038179840 is an abundant number, since it is smaller than the sum of its proper divisors (293443946496).

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

113038179840 is a wasteful number, since it uses less digits than its factorization.

113038179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 113038179840 in words is "one hundred thirteen billion, thirty-eight million, one hundred seventy-nine thousand, eight hundred forty".