6931046105344 has 81 divisors (see below), whose sum is σ = 14698232992317. Its totient is φ = 3261331771392.

The previous prime is 6931046105323. The next prime is 6931046105363. The reversal of 6931046105344 is 4435016401396.

The square root of 6931046105344 is 2632688.

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., 5396143161600 + 1534902943744 = 2322960^2 + 1238912^2 .

It is a super-2 number, since 2×6931046105344² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6931046105294 and 6931046105303.

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, 716086297 + ... + 716095975.

Almost surely, 2^{6931046105344} is an apocalyptic number.

6931046105344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6931046105344 is the 2632688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6931046105344

6931046105344 is an abundant number, since it is smaller than the sum of its proper divisors (7767186886973).

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

6931046105344 is an frugal number, since it uses more digits than its factorization.

6931046105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19408 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 6931046105344 in words is "six trillion, nine hundred thirty-one billion, forty-six million, one hundred five thousand, three hundred forty-four".