113325176640 has 448 divisors, whose sum is σ = 400374648576. Its totient is φ = 26982678528.

The previous prime is 113325176623. The next prime is 113325176647. The reversal of 113325176640 is 46671523311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113325176647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48283947 + ... + 48286293.

It is an arithmetic number, because the mean of its divisors is an integer number (893693412).

Almost surely, 2^113325176640 is an apocalyptic number.

113325176640 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 113325176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200187324288).

113325176640 is an abundant number, since it is smaller than the sum of its proper divisors (287049471936).

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

113325176640 is a wasteful number, since it uses less digits than its factorization.

113325176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

Adding to 113325176640 its reverse (46671523311), we get a palindrome (159996699951).

The spelling of 113325176640 in words is "one hundred thirteen billion, three hundred twenty-five million, one hundred seventy-six thousand, six hundred forty".