114038496 has 288 divisors, whose sum is σ = 398442240. Its totient is φ = 31449600.

The previous prime is 114038479. The next prime is 114038503. The reversal of 114038496 is 694830411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114038496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606141 + ... + 1606211.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^114038496 is an apocalyptic number.

114038496 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 114038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

114038496 is an abundant number, since it is smaller than the sum of its proper divisors (284403744).

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

114038496 is a wasteful number, since it uses less digits than its factorization.

114038496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114038496 is about 10678.8808402379. The cubic root of 114038496 is about 484.9353313004.

The spelling of 114038496 in words is "one hundred fourteen million, thirty-eight thousand, four hundred ninety-six".