114166944 has 36 divisors (see below), whose sum is σ = 324663066. Its totient is φ = 38055552.

The previous prime is 114166937. The next prime is 114166961. The reversal of 114166944 is 449661411.

It can be written as a sum of positive squares in only one way, i.e., 91011600 + 23155344 = 9540^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×114166944² = 26068182204598272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114166899 and 114166908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 197919 + ... + 198494.

Almost surely, 2^114166944 is an apocalyptic number.

It is an amenable number.

114166944 is an abundant number, since it is smaller than the sum of its proper divisors (210496122).

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

114166944 is a wasteful number, since it uses less digits than its factorization.

114166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396429 (or 396418 counting only the distinct ones).

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

The square root of 114166944 is about 10684.8932610485. The cubic root of 114166944 is about 485.1173330036.

The spelling of 114166944 in words is "one hundred fourteen million, one hundred sixty-six thousand, nine hundred forty-four".