113071472640 has 960 divisors, whose sum is σ = 470586547200. Its totient is φ = 25225592832.

The previous prime is 113071472557. The next prime is 113071472651. The reversal of 113071472640 is 46274170311.

113071472640 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 7 + 1 + 4 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113071472595 and 113071472604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1037352906 + ... + 1037353014.

It is an arithmetic number, because the mean of its divisors is an integer number (490194320).

Almost surely, 2^113071472640 is an apocalyptic number.

113071472640 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 113071472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235293273600).

113071472640 is an abundant number, since it is smaller than the sum of its proper divisors (357515074560).

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

113071472640 is an equidigital number, since it uses as much as digits as its factorization.

113071472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 113071472640 in words is "one hundred thirteen billion, seventy-one million, four hundred seventy-two thousand, six hundred forty".