114651517266 has 192 divisors, whose sum is σ = 309681066240. Its totient is φ = 30118072320.

The previous prime is 114651517259. The next prime is 114651517297. The reversal of 114651517266 is 662715156411.

114651517266 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 515 + 1 + 72 + 66 = 666.

It is a super-2 number, since 2×114651517266² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22007670 + ... + 22012878.

It is an arithmetic number, because the mean of its divisors is an integer number (1612922220).

Almost surely, 2^114651517266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114651517266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154840533120).

114651517266 is an abundant number, since it is smaller than the sum of its proper divisors (195029548974).

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

114651517266 is a wasteful number, since it uses less digits than its factorization.

114651517266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5758 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 114651517266 in words is "one hundred fourteen billion, six hundred fifty-one million, five hundred seventeen thousand, two hundred sixty-six".