114547664 has 80 divisors (see below), whose sum is σ = 279565440. Its totient is φ = 44167680.

The previous prime is 114547627. The next prime is 114547669. The reversal of 114547664 is 466745411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114547669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133862 + ... + 134714.

It is an arithmetic number, because the mean of its divisors is an integer number (3494568).

Almost surely, 2^114547664 is an apocalyptic number.

114547664 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 114547664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139782720).

114547664 is an abundant number, since it is smaller than the sum of its proper divisors (165017776).

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

114547664 is a wasteful number, since it uses less digits than its factorization.

114547664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 114547664 is about 10702.6942402369. The cubic root of 114547664 is about 485.6559855548.

The spelling of 114547664 in words is "one hundred fourteen million, five hundred forty-seven thousand, six hundred sixty-four".