114289520616 has 320 divisors, whose sum is σ = 343063226880. Its totient is φ = 35464366080.

The previous prime is 114289520581. The next prime is 114289520617. The reversal of 114289520616 is 616025982411.

114289520616 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 9 + 5 + 20 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (114289520617) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168817270 + ... + 168817946.

It is an arithmetic number, because the mean of its divisors is an integer number (1072072584).

Almost surely, 2^114289520616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114289520616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171531613440).

114289520616 is an abundant number, since it is smaller than the sum of its proper divisors (228773706264).

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

114289520616 is a wasteful number, since it uses less digits than its factorization.

114289520616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 114289520616 in words is "one hundred fourteen billion, two hundred eighty-nine million, five hundred twenty thousand, six hundred sixteen".