10746831271696 has 135 divisors (see below), whose sum is σ = 23578406925087. Its totient is φ = 4742689585920.

The previous prime is 10746831271661. The next prime is 10746831271703. The reversal of 10746831271696 is 69617213864701.

It is a happy number.

The square root of 10746831271696 is 3278236.

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 3434869155600 + 7311962116096 = 1853340^2 + 2704064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3920768886 + ... + 3920771626.

Almost surely, 2^{10746831271696} is an apocalyptic number.

10746831271696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10746831271696 is the 3278236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746831271696

10746831271696 is an abundant number, since it is smaller than the sum of its proper divisors (12831575653391).

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

10746831271696 is an frugal number, since it uses more digits than its factorization.

10746831271696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 10746831271696 in words is "ten trillion, seven hundred forty-six billion, eight hundred thirty-one million, two hundred seventy-one thousand, six hundred ninety-six".