114677664 has 48 divisors (see below), whose sum is σ = 304859520. Its totient is φ = 37739520.

The previous prime is 114677653. The next prime is 114677677. The reversal of 114677664 is 466776411.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 15144.

It is an arithmetic number, because the mean of its divisors is an integer number (6351240).

Almost surely, 2^114677664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152429760).

114677664 is an abundant number, since it is smaller than the sum of its proper divisors (190181856).

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

114677664 is a wasteful number, since it uses less digits than its factorization.

114677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15213 (or 15205 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 114677664 is about 10708.7657552119. The cubic root of 114677664 is about 485.8396395521.

The spelling of 114677664 in words is "one hundred fourteen million, six hundred seventy-seven thousand, six hundred sixty-four".