83400241681 has 9 divisors (see below), whose sum is σ = 83713014651. Its totient is φ = 83088636192.

The previous prime is 83400241651. The next prime is 83400241693. The reversal of 83400241681 is 18614200438.

The square root of 83400241681 is 288791.

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

It can be written as a sum of positive squares in only one way, i.e., 51281867025 + 32118374656 = 226455^2 + 179216^2 .

It is not a de Polignac number, because 83400241681 - 2¹⁷ = 83400110609 is a prime.

It is a super-2 number, since 2×83400241681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83400241681.

It is not an unprimeable number, because it can be changed into a prime (83400241621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140640921 + ... + 140641513.

Almost surely, 2^83400241681 is an apocalyptic number.

83400241681 is the 288791-st square number.

83400241681 is the 144396-th centered octagonal number.

It is an amenable number.

83400241681 is a deficient number, since it is larger than the sum of its proper divisors (312772970).

83400241681 is an frugal number, since it uses more digits than its factorization.

83400241681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 83400241681 in words is "eighty-three billion, four hundred million, two hundred forty-one thousand, six hundred eighty-one".