114466464 has 72 divisors (see below), whose sum is σ = 372022560. Its totient is φ = 32704128.

The previous prime is 114466433. The next prime is 114466489. The reversal of 114466464 is 464664411.

114466464 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 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 11 ways as a sum of consecutive naturals, for example, 26374 + ... + 30405.

It is an arithmetic number, because the mean of its divisors is an integer number (5166980).

Almost surely, 2^114466464 is an apocalyptic number.

114466464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114466464 is an abundant number, since it is smaller than the sum of its proper divisors (257556096).

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

114466464 is a wasteful number, since it uses less digits than its factorization.

114466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56802 (or 56791 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 114466464 is about 10698.9001303872. The cubic root of 114466464 is about 485.5412019310.

The spelling of 114466464 in words is "one hundred fourteen million, four hundred sixty-six thousand, four hundred sixty-four".