114993508 has 48 divisors (see below), whose sum is σ = 251403264. Its totient is φ = 44881920.

The previous prime is 114993493. The next prime is 114993511. The reversal of 114993508 is 805399411.

It is a super-3 number, since 3×114993508³ (a number of 25 digits) contains 333 as substring.

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, 10860 + ... + 18652.

It is an arithmetic number, because the mean of its divisors is an integer number (5237568).

Almost surely, 2^114993508 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 114993508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125701632).

114993508 is an abundant number, since it is smaller than the sum of its proper divisors (136409756).

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

114993508 is a wasteful number, since it uses less digits than its factorization.

114993508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 114993508 is about 10723.5025994308. The cubic root of 114993508 is about 486.2852621450.

The spelling of 114993508 in words is "one hundred fourteen million, nine hundred ninety-three thousand, five hundred eight".