114161664 has 96 divisors (see below), whose sum is σ = 322554960. Its totient is φ = 35782656.

The previous prime is 114161657. The next prime is 114161669. The reversal of 114161664 is 466161411.

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

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 (114161669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103902 + ... + 104994.

Almost surely, 2^114161664 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 114161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161277480).

114161664 is an abundant number, since it is smaller than the sum of its proper divisors (208393296).

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

114161664 is a wasteful number, since it uses less digits than its factorization.

114161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 114161664 is about 10684.6461803843. The cubic root of 114161664 is about 485.1098543094.

The spelling of 114161664 in words is "one hundred fourteen million, one hundred sixty-one thousand, six hundred sixty-four".