113190493440 has 288 divisors, whose sum is σ = 395121355776. Its totient is φ = 27491696640.

The previous prime is 113190493439. The next prime is 113190493441. The reversal of 113190493440 is 44394091311.

It is an interprime number because it is at equal distance from previous prime (113190493439) and next prime (113190493441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113190493441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995714 + ... + 2051646.

It is an arithmetic number, because the mean of its divisors is an integer number (1371949152).

Almost surely, 2^113190493440 is an apocalyptic number.

113190493440 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 113190493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197560677888).

113190493440 is an abundant number, since it is smaller than the sum of its proper divisors (281930862336).

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

113190493440 is a wasteful number, since it uses less digits than its factorization.

113190493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56005 (or 55991 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 113190493440 in words is "one hundred thirteen billion, one hundred ninety million, four hundred ninety-three thousand, four hundred forty".