114669216 has 192 divisors, whose sum is σ = 365420160. Its totient is φ = 34836480.

The previous prime is 114669209. The next prime is 114669223. The reversal of 114669216 is 612966411.

It is an interprime number because it is at equal distance from previous prime (114669209) and next prime (114669223).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543351 + ... + 543561.

It is an arithmetic number, because the mean of its divisors is an integer number (1903230).

Almost surely, 2^114669216 is an apocalyptic number.

114669216 is a gapful number since it is divisible by the number (16) 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 114669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710080).

114669216 is an abundant number, since it is smaller than the sum of its proper divisors (250750944).

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

114669216 is a wasteful number, since it uses less digits than its factorization.

114669216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 114669216 is about 10708.3713047316. The cubic root of 114669216 is about 485.8277090857.

The spelling of 114669216 in words is "one hundred fourteen million, six hundred sixty-nine thousand, two hundred sixteen".