114000769600 has 189 divisors, whose sum is σ = 294040833177. Its totient is φ = 43498836480.

The previous prime is 114000769579. The next prime is 114000769661. The reversal of 114000769600 is 6967000411.

The square root of 114000769600 is 337640.

It is a perfect power (a square), and thus also a powerful number.

114000769600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41040277056 + 72960492544 = 202584^2 + 270112^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 310628617 + ... + 310628983.

Almost surely, 2^114000769600 is an apocalyptic number.

114000769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114000769600 is the 337640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114000769600

114000769600 is an abundant number, since it is smaller than the sum of its proper divisors (180040063577).

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

114000769600 is an frugal number, since it uses more digits than its factorization.

114000769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

It can be divided in two parts, 114000 and 769600, that added together give a square (883600 = 940²).

The spelling of 114000769600 in words is "one hundred fourteen billion, seven hundred sixty-nine thousand, six hundred".