113192338657248 has 144 divisors (see below), whose sum is σ = 335912052411936. Its totient is φ = 36087507456000.

The previous prime is 113192338657207. The next prime is 113192338657289. The reversal of 113192338657248 is 842756833291311.

113192338657248 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 9 + 2 + 3 + 386 + 5 + 7 + 248 = 666.

113192338657248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113192338657207) and next prime (113192338657289).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85461436 + ... + 86775812.

It is an arithmetic number, because the mean of its divisors is an integer number (2332722586194).

Almost surely, 2^{113192338657248} is an apocalyptic number.

113192338657248 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 113192338657248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167956026205968).

113192338657248 is an abundant number, since it is smaller than the sum of its proper divisors (222719713754688).

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

113192338657248 is a wasteful number, since it uses less digits than its factorization.

113192338657248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327417 (or 1327406 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 113192338657248 in words is "one hundred thirteen trillion, one hundred ninety-two billion, three hundred thirty-eight million, six hundred fifty-seven thousand, two hundred forty-eight".