114017904 has 360 divisors, whose sum is σ = 439940592. Its totient is φ = 27095040.

The previous prime is 114017903. The next prime is 114017957. The reversal of 114017904 is 409710411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114017903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008952 + ... + 1009064.

Almost surely, 2^114017904 is an apocalyptic number.

114017904 is a gapful number since it is divisible by the number (14) 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 114017904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219970296).

114017904 is an abundant number, since it is smaller than the sum of its proper divisors (325922688).

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

114017904 is a wasteful number, since it uses less digits than its factorization.

114017904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114017904 is about 10677.9166507330. The cubic root of 114017904 is about 484.9061411883.

It can be divided in two parts, 114017 and 904, that added together give a square (114921 = 339²).

The spelling of 114017904 in words is "one hundred fourteen million, seventeen thousand, nine hundred four".