114061641360 has 80 divisors (see below), whose sum is σ = 353891367360. Its totient is φ = 30390607360.

The previous prime is 114061641349. The next prime is 114061641367. The reversal of 114061641360 is 63146160411.

114061641360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (114061641367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82231 + ... + 484649.

It is an arithmetic number, because the mean of its divisors is an integer number (4423642092).

Almost surely, 2^114061641360 is an apocalyptic number.

114061641360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114061641360 is an abundant number, since it is smaller than the sum of its proper divisors (239829726000).

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

114061641360 is a wasteful number, since it uses less digits than its factorization.

114061641360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403616 (or 403610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 114061641360 in words is "one hundred fourteen billion, sixty-one million, six hundred forty-one thousand, three hundred sixty".