114394464 has 96 divisors (see below), whose sum is σ = 344494080. Its totient is φ = 36892800.

The previous prime is 114394463. The next prime is 114394471. The reversal of 114394464 is 464493411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114394463) 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 15 ways as a sum of consecutive naturals, for example, 24649 + ... + 28919.

It is an arithmetic number, because the mean of its divisors is an integer number (3588480).

Almost surely, 2^114394464 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 114394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172247040).

114394464 is an abundant number, since it is smaller than the sum of its proper divisors (230099616).

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

114394464 is a wasteful number, since it uses less digits than its factorization.

114394464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4307 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 114394464 is about 10695.5347692390. The cubic root of 114394464 is about 485.4393779333.

The spelling of 114394464 in words is "one hundred fourteen million, three hundred ninety-four thousand, four hundred sixty-four".