114963522816 has 216 divisors, whose sum is σ = 322233901920. Its totient is φ = 36372910080.

The previous prime is 114963522811. The next prime is 114963522881. The reversal of 114963522816 is 618225369411.

It is a super-3 number, since 3×114963522816³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114963522811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39115075 + ... + 39118013.

It is an arithmetic number, because the mean of its divisors is an integer number (1491823620).

Almost surely, 2^114963522816 is an apocalyptic number.

114963522816 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 114963522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161116950960).

114963522816 is an abundant number, since it is smaller than the sum of its proper divisors (207270379104).

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

114963522816 is an equidigital number, since it uses as much as digits as its factorization.

114963522816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3028 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 114963522816 in words is "one hundred fourteen billion, nine hundred sixty-three million, five hundred twenty-two thousand, eight hundred sixteen".