114270464 has 216 divisors, whose sum is σ = 313173504. Its totient is φ = 40550400.

The previous prime is 114270451. The next prime is 114270473. The reversal of 114270464 is 464072411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3686129 + ... + 3686159.

Almost surely, 2^114270464 is an apocalyptic number.

114270464 is a gapful number since it is divisible by the number (14) 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 114270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

114270464 is an abundant number, since it is smaller than the sum of its proper divisors (198903040).

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

114270464 is a wasteful number, since it uses less digits than its factorization.

114270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 114270464 is about 10689.7363858984. The cubic root of 114270464 is about 485.2639141813.

The spelling of 114270464 in words is "one hundred fourteen million, two hundred seventy thousand, four hundred sixty-four".