114546371809 has 27 divisors (see below), whose sum is σ = 123846106257. Its totient is φ = 105928495848.

The previous prime is 114546371801. The next prime is 114546371831. The reversal of 114546371809 is 908173645411.

The square root of 114546371809 is 338447.

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

It is not a de Polignac number, because 114546371809 - 2³ = 114546371801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114546371801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 302232982 + ... + 302233360.

Almost surely, 2^114546371809 is an apocalyptic number.

114546371809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114546371809 is the 338447-th square number.

114546371809 is the 169224-th centered octagonal number.

It is an amenable number.

114546371809 is a deficient number, since it is larger than the sum of its proper divisors (9299734448).

114546371809 is an frugal number, since it uses more digits than its factorization.

114546371809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 114546371809 by its sum of digits (49), we get a square (5612772218641 = 2369129²).

The spelling of 114546371809 in words is "one hundred fourteen billion, five hundred forty-six million, three hundred seventy-one thousand, eight hundred nine".