114664704 has 216 divisors, whose sum is σ = 388670688. Its totient is φ = 29675520.

The previous prime is 114664687. The next prime is 114664709. The reversal of 114664704 is 407466411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114664709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 413814 + ... + 414090.

Almost surely, 2^114664704 is an apocalyptic number.

114664704 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 114664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194335344).

114664704 is an abundant number, since it is smaller than the sum of its proper divisors (274005984).

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

114664704 is a wasteful number, since it uses less digits than its factorization.

114664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 114664704 is about 10708.1606263634. The cubic root of 114664704 is about 485.8213368920.

The spelling of 114664704 in words is "one hundred fourteen million, six hundred sixty-four thousand, seven hundred four".