114977664 has 256 divisors, whose sum is σ = 381888000. Its totient is φ = 33841152.

The previous prime is 114977593. The next prime is 114977677. The reversal of 114977664 is 466779411.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (254016) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116237 + ... + 1116339.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^114977664 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 114977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

114977664 is an abundant number, since it is smaller than the sum of its proper divisors (266910336).

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

114977664 is a wasteful number, since it uses less digits than its factorization.

114977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 114977664 is about 10722.7638228211. The cubic root of 114977664 is about 486.2629273839.

The spelling of 114977664 in words is "one hundred fourteen million, nine hundred seventy-seven thousand, six hundred sixty-four".