114811361280 has 768 divisors, whose sum is σ = 508917427200. Its totient is φ = 23852482560.

The previous prime is 114811361239. The next prime is 114811361297. The reversal of 114811361280 is 82163118411.

114811361280 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 11 + 361 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21286264 + ... + 21291656.

It is an arithmetic number, because the mean of its divisors is an integer number (662652900).

Almost surely, 2^114811361280 is an apocalyptic number.

114811361280 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 114811361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254458713600).

114811361280 is an abundant number, since it is smaller than the sum of its proper divisors (394106065920).

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

114811361280 is a wasteful number, since it uses less digits than its factorization.

114811361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 114811361280 its reverse (82163118411), we get a palindrome (196974479691).

The spelling of 114811361280 in words is "one hundred fourteen billion, eight hundred eleven million, three hundred sixty-one thousand, two hundred eighty".