13347411961 has 9 divisors (see below), whose sum is σ = 14454741231. Its totient is φ = 12319301592.

The previous prime is 13347411949. The next prime is 13347411967. The reversal of 13347411961 is 16911474331.

The square root of 13347411961 is 115531.

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., 1974469225 + 11372942736 = 44435^2 + 106644^2 .

It is not a de Polignac number, because 13347411961 - 2⁵ = 13347411929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13347411967) 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, 1497460 + ... + 1506346.

It is an arithmetic number, because the mean of its divisors is an integer number (1606082359).

Almost surely, 2^13347411961 is an apocalyptic number.

13347411961 is the 115531-st square number.

13347411961 is the 57766-th centered octagonal number.

It is an amenable number.

13347411961 is a deficient number, since it is larger than the sum of its proper divisors (1107329270).

13347411961 is an frugal number, since it uses more digits than its factorization.

13347411961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800 (or 8900 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The spelling of 13347411961 in words is "thirteen billion, three hundred forty-seven million, four hundred eleven thousand, nine hundred sixty-one".