114161560800 has 288 divisors, whose sum is σ = 447033888000. Its totient is φ = 24720629760.

The previous prime is 114161560771. The next prime is 114161560801. The reversal of 114161560800 is 8065161411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114161560801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140376 + ... + 498024.

It is an arithmetic number, because the mean of its divisors is an integer number (1552201000).

Almost surely, 2^114161560800 is an apocalyptic number.

114161560800 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 114161560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223516944000).

114161560800 is an abundant number, since it is smaller than the sum of its proper divisors (332872327200).

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

114161560800 is a wasteful number, since it uses less digits than its factorization.

114161560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357698 (or 357685 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 114161560800 in words is "one hundred fourteen billion, one hundred sixty-one million, five hundred sixty thousand, eight hundred".