114460192 has 144 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 43084800.

The previous prime is 114460189. The next prime is 114460193. The reversal of 114460192 is 291064411.

It is a super-2 number, since 2×114460192² = 26202271105353728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114460192.

It is not an unprimeable number, because it can be changed into a prime (114460193) 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, 1111213 + ... + 1111315.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^114460192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114460192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

114460192 is an abundant number, since it is smaller than the sum of its proper divisors (178335584).

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

114460192 is a wasteful number, since it uses less digits than its factorization.

114460192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 114460192 is about 10698.6070121301. The cubic root of 114460192 is about 485.5323336275.

The spelling of 114460192 in words is "one hundred fourteen million, four hundred sixty thousand, one hundred ninety-two".