114266496 has 128 divisors (see below), whose sum is σ = 325094400. Its totient is φ = 35481600.

The previous prime is 114266491. The next prime is 114266497. The reversal of 114266496 is 694662411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114266491) 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, 345051 + ... + 345381.

It is an arithmetic number, because the mean of its divisors is an integer number (2539800).

Almost surely, 2^114266496 is an apocalyptic number.

114266496 is a gapful number since it is divisible by the number (16) 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 114266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162547200).

114266496 is an abundant number, since it is smaller than the sum of its proper divisors (210827904).

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

114266496 is a wasteful number, since it uses less digits than its factorization.

114266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 114266496 is about 10689.5507856972. The cubic root of 114266496 is about 485.2582972457.

The spelling of 114266496 in words is "one hundred fourteen million, two hundred sixty-six thousand, four hundred ninety-six".