114419616 has 96 divisors (see below), whose sum is σ = 315524160. Its totient is φ = 36255744.

The previous prime is 114419611. The next prime is 114419663. The reversal of 114419616 is 616914411.

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

It is not an unprimeable number, because it can be changed into a prime (114419611) 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, 202951 + ... + 203513.

It is an arithmetic number, because the mean of its divisors is an integer number (3286710).

Almost surely, 2^114419616 is an apocalyptic number.

114419616 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 114419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157762080).

114419616 is an abundant number, since it is smaller than the sum of its proper divisors (201104544).

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

114419616 is a wasteful number, since it uses less digits than its factorization.

114419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 114419616 is about 10696.7105223989. The cubic root of 114419616 is about 485.4749533043.

The spelling of 114419616 in words is "one hundred fourteen million, four hundred nineteen thousand, six hundred sixteen".