114482663911680 has 1152 divisors, whose sum is σ = 388667344343040. Its totient is φ = 28677390336000.

The previous prime is 114482663911661. The next prime is 114482663911711. The reversal of 114482663911680 is 86119366284411.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271930317870 + ... + 271930318290.

It is an arithmetic number, because the mean of its divisors is an integer number (337384847520).

Almost surely, 2^{114482663911680} is an apocalyptic number.

114482663911680 is a gapful number since it is divisible by the number (10) 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 114482663911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194333672171520).

114482663911680 is an abundant number, since it is smaller than the sum of its proper divisors (274184680431360).

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

114482663911680 is a wasteful number, since it uses less digits than its factorization.

114482663911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 114482663911680 in words is "one hundred fourteen trillion, four hundred eighty-two billion, six hundred sixty-three million, nine hundred eleven thousand, six hundred eighty".