114481622208 has 224 divisors, whose sum is σ = 316473474240. Its totient is φ = 36495360000.

The previous prime is 114481622191. The next prime is 114481622209. The reversal of 114481622208 is 802226184411.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (114481622209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86662188 + ... + 86663508.

It is an arithmetic number, because the mean of its divisors is an integer number (1412828010).

Almost surely, 2^114481622208 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 114481622208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158236737120).

114481622208 is an abundant number, since it is smaller than the sum of its proper divisors (201991852032).

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

114481622208 is a wasteful number, since it uses less digits than its factorization.

114481622208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 114481622208 in words is "one hundred fourteen billion, four hundred eighty-one million, six hundred twenty-two thousand, two hundred eight".