114116016420 has 432 divisors, whose sum is σ = 420898243584. Its totient is φ = 24472627200.

The previous prime is 114116016419. The next prime is 114116016431. The reversal of 114116016420 is 24610611411.

114116016420 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 16 + 0 + 1 + 642 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 406106680 + ... + 406106960.

Almost surely, 2^114116016420 is an apocalyptic number.

114116016420 is a gapful number since it is divisible by the number (10) 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 114116016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210449121792).

114116016420 is an abundant number, since it is smaller than the sum of its proper divisors (306782227164).

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

114116016420 is a wasteful number, since it uses less digits than its factorization.

114116016420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114116016420 its reverse (24610611411), we get a palindrome (138726627831).

The spelling of 114116016420 in words is "one hundred fourteen billion, one hundred sixteen million, sixteen thousand, four hundred twenty".