114793952 has 96 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 44748288.

The previous prime is 114793951. The next prime is 114793969. The reversal of 114793952 is 259397411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114793951) 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, 229799 + ... + 230297.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 2^114793952 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 114793952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120000).

114793952 is an abundant number, since it is smaller than the sum of its proper divisors (167446048).

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

114793952 is a wasteful number, since it uses less digits than its factorization.

114793952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its digits is 68040, while the sum is 41.

The square root of 114793952 is about 10714.1939500832. The cubic root of 114793952 is about 486.0038047199.

The spelling of 114793952 in words is "one hundred fourteen million, seven hundred ninety-three thousand, nine hundred fifty-two".