114860283509521 has 81 divisors (see below), whose sum is σ = 133187850135921. Its totient is φ = 98976307372800.

The previous prime is 114860283509513. The next prime is 114860283509561. The reversal of 114860283509521 is 125905382068411.

It is a happy number.

The square root of 114860283509521 is 10717289.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13117152741121 + 101743130768400 = 3621761^2 + 10086780^2 .

It is not a de Polignac number, because 114860283509521 - 2³ = 114860283509513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114860283509561) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 193693563801 + ... + 193693564393.

Almost surely, 2^{114860283509521} is an apocalyptic number.

114860283509521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114860283509521 is the 10717289-th square number.

114860283509521 is the 5358645-th centered octagonal number.

It is an amenable number.

114860283509521 is a deficient number, since it is larger than the sum of its proper divisors (18327566626400).

114860283509521 is an frugal number, since it uses more digits than its factorization.

114860283509521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 114860283509521 in words is "one hundred fourteen trillion, eight hundred sixty billion, two hundred eighty-three million, five hundred nine thousand, five hundred twenty-one".