114746112 has 144 divisors (see below), whose sum is σ = 365712480. Its totient is φ = 35278848.

The previous prime is 114746081. The next prime is 114746117. The reversal of 114746112 is 211647411.

114746112 is a `hidden beast` number, since 1 + 1 + 47 + 4 + 611 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114746117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89218 + ... + 90494.

It is an arithmetic number, because the mean of its divisors is an integer number (2539670).

Almost surely, 2^114746112 is an apocalyptic number.

114746112 is a gapful number since it is divisible by the number (12) 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 114746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182856240).

114746112 is an abundant number, since it is smaller than the sum of its proper divisors (250966368).

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

114746112 is a wasteful number, since it uses less digits than its factorization.

114746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1295 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 114746112 is about 10711.9611649781. The cubic root of 114746112 is about 485.9362818461.

The spelling of 114746112 in words is "one hundred fourteen million, seven hundred forty-six thousand, one hundred twelve".