114904942416 has 200 divisors, whose sum is σ = 364814337888. Its totient is φ = 34626528000.

The previous prime is 114904942379. The next prime is 114904942417. The reversal of 114904942416 is 614249409411.

114904942416 is a `hidden beast` number, since 1 + 149 + 0 + 4 + 94 + 2 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114904942417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2558071 + ... + 2602601.

Almost surely, 2^114904942416 is an apocalyptic number.

114904942416 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 114904942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407168944).

114904942416 is an abundant number, since it is smaller than the sum of its proper divisors (249909395472).

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

114904942416 is a wasteful number, since it uses less digits than its factorization.

114904942416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44743 (or 44728 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 114904942416 in words is "one hundred fourteen billion, nine hundred four million, nine hundred forty-two thousand, four hundred sixteen".