114968952 has 48 divisors (see below), whose sum is σ = 355857840. Its totient is φ = 32848128.

The previous prime is 114968933. The next prime is 114968983. The reversal of 114968952 is 259869411.

It is a junction number, because it is equal to n+sod(n) for n = 114968898 and 114968907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113553 + ... + 114560.

It is an arithmetic number, because the mean of its divisors is an integer number (7413705).

Almost surely, 2^114968952 is an apocalyptic number.

114968952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114968952 is an abundant number, since it is smaller than the sum of its proper divisors (240888888).

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

114968952 is a wasteful number, since it uses less digits than its factorization.

114968952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228132 (or 228125 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 114968952 is about 10722.3575765780. The cubic root of 114968952 is about 486.2506454923.

The spelling of 114968952 in words is "one hundred fourteen million, nine hundred sixty-eight thousand, nine hundred fifty-two".