113523056640 has 1344 divisors, whose sum is σ = 489476856960. Its totient is φ = 23781703680.

The previous prime is 113523056597. The next prime is 113523056651. The reversal of 113523056640 is 46650325311.

113523056640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 3 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 113523056595 and 113523056604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2768855020 + ... + 2768855060.

It is an arithmetic number, because the mean of its divisors is an integer number (364194090).

Almost surely, 2^113523056640 is an apocalyptic number.

113523056640 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 113523056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244738428480).

113523056640 is an abundant number, since it is smaller than the sum of its proper divisors (375953800320).

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

113523056640 is a wasteful number, since it uses less digits than its factorization.

113523056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 113523056640 in words is "one hundred thirteen billion, five hundred twenty-three million, fifty-six thousand, six hundred forty".