113704295953248 has 1152 divisors, whose sum is σ = 444625452730368. Its totient is φ = 26611200000000.

The previous prime is 113704295953201. The next prime is 113704295953249. The reversal of 113704295953248 is 842359592407311.

113704295953248 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 0 + 4 + 2 + 9 + 59 + 532 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113704295953249) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2067285748 + ... + 2067340748.

It is an arithmetic number, because the mean of its divisors is an integer number (385959594384).

Almost surely, 2^{113704295953248} is an apocalyptic number.

113704295953248 is a gapful number since it is divisible by the number (18) 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 113704295953248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222312726365184).

113704295953248 is an abundant number, since it is smaller than the sum of its proper divisors (330921156777120).

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

113704295953248 is a wasteful number, since it uses less digits than its factorization.

113704295953248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55220 (or 55209 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 113704295953248 in words is "one hundred thirteen trillion, seven hundred four billion, two hundred ninety-five million, nine hundred fifty-three thousand, two hundred forty-eight".