1357968371761 has 9 divisors (see below), whose sum is σ = 1370669302443. Its totient is φ = 1345384091880.

The previous prime is 1357968371731. The next prime is 1357968371833. The reversal of 1357968371761 is 1671738697531.

The square root of 1357968371761 is 1165319.

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., 946497440161 + 411470931600 = 972881^2 + 641460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1357968371761 is a prime.

It is a super-2 number, since 2×1357968371761² (a number of 25 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 = 1357968371693 and 1357968371702.

It is not an unprimeable number, because it can be changed into a prime (1357968371731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127014426 + ... + 127025116.

Almost surely, 2^{1357968371761} is an apocalyptic number.

1357968371761 is the 1165319-th square number.

1357968371761 is the 582660-th centered octagonal number.

It is an amenable number.

1357968371761 is a deficient number, since it is larger than the sum of its proper divisors (12700930682).

1357968371761 is an frugal number, since it uses more digits than its factorization.

1357968371761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 10800 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 64.

Multiplying 1357968371761 by its sum of digits (64), we get a square (86909975792704 = 9322552²).

The spelling of 1357968371761 in words is "one trillion, three hundred fifty-seven billion, nine hundred sixty-eight million, three hundred seventy-one thousand, seven hundred sixty-one".