6406112860900 has 27 divisors (see below), whose sum is σ = 13901319831721. Its totient is φ = 2562435020240.

The previous prime is 6406112860867. The next prime is 6406112860919. The reversal of 6406112860900 is 90682116046.

The square root of 6406112860900 is 2531030.

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., 2306200629924 + 4099912230976 = 1518618^2 + 2024824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25183749 + ... + 25436851.

Almost surely, 2^{6406112860900} is an apocalyptic number.

6406112860900 is the 2531030-th square number.

It is an amenable number.

6406112860900 is an abundant number, since it is smaller than the sum of its proper divisors (7495206970821).

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

6406112860900 is an frugal number, since it uses more digits than its factorization.

6406112860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506220 (or 253110 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

Adding to 6406112860900 its reverse (90682116046), we get a palindrome (6496794976946).

The spelling of 6406112860900 in words is "six trillion, four hundred six billion, one hundred twelve million, eight hundred sixty thousand, nine hundred".