114604216650 has 576 divisors, whose sum is σ = 397217433600. Its totient is φ = 23001408000.

The previous prime is 114604216633. The next prime is 114604216679. The reversal of 114604216650 is 56612406411.

114604216650 is a `hidden beast` number, since 114 + 60 + 421 + 6 + 65 + 0 = 666.

It is a super-3 number, since 3×114604216650³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124704891 + ... + 124705809.

It is an arithmetic number, because the mean of its divisors is an integer number (689613600).

Almost surely, 2^114604216650 is an apocalyptic number.

114604216650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114604216650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198608716800).

114604216650 is an abundant number, since it is smaller than the sum of its proper divisors (282613216950).

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

114604216650 is a wasteful number, since it uses less digits than its factorization.

114604216650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 114604216650 in words is "one hundred fourteen billion, six hundred four million, two hundred sixteen thousand, six hundred fifty".