114966477216 has 72 divisors (see below), whose sum is σ = 327386221344. Its totient is φ = 38269376640.

The previous prime is 114966477211. The next prime is 114966477229. The reversal of 114966477216 is 612774669411.

It is a happy number.

114966477216 is a `hidden beast` number, since 1 + 1 + 496 + 64 + 77 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×114966477216² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114966477211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65170 + ... + 483921.

It is an arithmetic number, because the mean of its divisors is an integer number (4547030852).

Almost surely, 2^114966477216 is an apocalyptic number.

114966477216 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 114966477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163693110672).

114966477216 is an abundant number, since it is smaller than the sum of its proper divisors (212419744128).

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

114966477216 is a wasteful number, since it uses less digits than its factorization.

114966477216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549834 (or 549823 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 114966477216 in words is "one hundred fourteen billion, nine hundred sixty-six million, four hundred seventy-seven thousand, two hundred sixteen".