112653400319 has 32 divisors (see below), whose sum is σ = 124935670080. Its totient is φ = 101097013248.

The previous prime is 112653400309. The next prime is 112653400331. The reversal of 112653400319 is 913004356211.

It is a cyclic number.

It is not a de Polignac number, because 112653400319 - 2²⁴ = 112636623103 is a prime.

It is a super-2 number, since 2×112653400319² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112653400309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17773919 + ... + 17780255.

It is an arithmetic number, because the mean of its divisors is an integer number (3904239690).

Almost surely, 2^112653400319 is an apocalyptic number.

112653400319 is a deficient number, since it is larger than the sum of its proper divisors (12282269761).

112653400319 is a wasteful number, since it uses less digits than its factorization.

112653400319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 112653400319 in words is "one hundred twelve billion, six hundred fifty-three million, four hundred thousand, three hundred nineteen".