114254976 has 96 divisors (see below), whose sum is σ = 333723600. Its totient is φ = 34608640.

The previous prime is 114254971. The next prime is 114254993. The reversal of 114254976 is 679452411.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114254971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45235 + ... + 47693.

Almost surely, 2^114254976 is an apocalyptic number.

114254976 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 114254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166861800).

114254976 is an abundant number, since it is smaller than the sum of its proper divisors (219468624).

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

114254976 is a wasteful number, since it uses less digits than its factorization.

114254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2475 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 114254976 is about 10689.0119281438. The cubic root of 114254976 is about 485.2419892766.

The spelling of 114254976 in words is "one hundred fourteen million, two hundred fifty-four thousand, nine hundred seventy-six".