114496704 has 168 divisors, whose sum is σ = 381182880. Its totient is φ = 32182272.

The previous prime is 114496693. The next prime is 114496771. The reversal of 114496704 is 407694411.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 294142 + ... + 294530.

Almost surely, 2^114496704 is an apocalyptic number.

114496704 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 114496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190591440).

114496704 is an abundant number, since it is smaller than the sum of its proper divisors (266686176).

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

114496704 is a wasteful number, since it uses less digits than its factorization.

114496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114496704 is about 10700.3132664422. The cubic root of 114496704 is about 485.5839552774.

The spelling of 114496704 in words is "one hundred fourteen million, four hundred ninety-six thousand, seven hundred four".