114904944 has 240 divisors, whose sum is σ = 411949824. Its totient is φ = 29030400.

The previous prime is 114904891. The next prime is 114904949. The reversal of 114904944 is 449409411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114904899 and 114904908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114904949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476664 + ... + 476904.

Almost surely, 2^114904944 is an apocalyptic number.

114904944 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 114904944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205974912).

114904944 is an abundant number, since it is smaller than the sum of its proper divisors (297044880).

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

114904944 is a wasteful number, since it uses less digits than its factorization.

114904944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

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

The square root of 114904944 is about 10719.3723696866. The cubic root of 114904944 is about 486.1603900840.

The spelling of 114904944 in words is "one hundred fourteen million, nine hundred four thousand, nine hundred forty-four".