112164184464 has 40 divisors (see below), whose sum is σ = 289769727360. Its totient is φ = 37386480768.

The previous prime is 112164184463. The next prime is 112164184499. The reversal of 112164184464 is 464481461211.

It is a happy number.

It is a super-3 number, since 3×112164184464³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112164184463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853209 + ... + 1912775.

It is an arithmetic number, because the mean of its divisors is an integer number (7244243184).

Almost surely, 2^112164184464 is an apocalyptic number.

It is an amenable number.

112164184464 is an abundant number, since it is smaller than the sum of its proper divisors (177605542896).

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

112164184464 is a wasteful number, since it uses less digits than its factorization.

112164184464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98807 (or 98801 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 112164184464 in words is "one hundred twelve billion, one hundred sixty-four million, one hundred eighty-four thousand, four hundred sixty-four".