114354768 has 80 divisors (see below), whose sum is σ = 339264000. Its totient is φ = 32826240.

The previous prime is 114354739. The next prime is 114354797. The reversal of 114354768 is 867453411.

It is an interprime number because it is at equal distance from previous prime (114354739) and next prime (114354797).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4333 + ... + 15731.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2^114354768 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 114354768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632000).

114354768 is an abundant number, since it is smaller than the sum of its proper divisors (224909232).

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

114354768 is a wasteful number, since it uses less digits than its factorization.

114354768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11434 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 114354768 is about 10693.6788805350. The cubic root of 114354768 is about 485.3832206968.

The spelling of 114354768 in words is "one hundred fourteen million, three hundred fifty-four thousand, seven hundred sixty-eight".