114191264 has 48 divisors (see below), whose sum is σ = 246214080. Its totient is φ = 51701760.

The previous prime is 114191257. The next prime is 114191267. The reversal of 114191264 is 462191411.

It is not an unprimeable number, because it can be changed into a prime (114191267) 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, 123797 + ... + 124715.

It is an arithmetic number, because the mean of its divisors is an integer number (5129460).

Almost surely, 2^114191264 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 114191264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123107040).

114191264 is an abundant number, since it is smaller than the sum of its proper divisors (132022816).

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

114191264 is a wasteful number, since it uses less digits than its factorization.

114191264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 114191264 is about 10686.0312558031. The cubic root of 114191264 is about 485.1517773459.

The spelling of 114191264 in words is "one hundred fourteen million, one hundred ninety-one thousand, two hundred sixty-four".