112164268352799 has 24 divisors (see below), whose sum is σ = 166419345143856. Its totient is φ = 66797579145600.

The previous prime is 112164268352761. The next prime is 112164268352819. The reversal of 112164268352799 is 997253862461211.

It is not a de Polignac number, because 112164268352799 - 2¹¹ = 112164268350751 is a prime.

It is a super-3 number, since 3×112164268352799³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112164268352099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496324062 + ... + 1496399019.

It is an arithmetic number, because the mean of its divisors is an integer number (6934139380994).

Almost surely, 2^{112164268352799} is an apocalyptic number.

112164268352799 is a deficient number, since it is larger than the sum of its proper divisors (54255076791057).

112164268352799 is a wasteful number, since it uses less digits than its factorization.

112164268352799 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992723159 (or 2992723128 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 66.

The spelling of 112164268352799 in words is "one hundred twelve trillion, one hundred sixty-four billion, two hundred sixty-eight million, three hundred fifty-two thousand, seven hundred ninety-nine".