10337954742361 has 9 divisors (see below), whose sum is σ = 10352085834493. Its totient is φ = 10323842926720.

The previous prime is 10337954742359. The next prime is 10337954742391. The reversal of 10337954742361 is 16324745973301.

The square root of 10337954742361 is 3215269.

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 7040897733961 + 3297057008400 = 2653469^2 + 1815780^2 .

It is not a de Polignac number, because 10337954742361 - 2¹ = 10337954742359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10337954742391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2986983171 + ... + 2986986631.

Almost surely, 2^{10337954742361} is an apocalyptic number.

10337954742361 is the 3215269-th square number.

10337954742361 is the 1607635-th centered octagonal number.

It is an amenable number.

10337954742361 is a deficient number, since it is larger than the sum of its proper divisors (14131092132).

10337954742361 is an frugal number, since it uses more digits than its factorization.

10337954742361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 55.

The spelling of 10337954742361 in words is "ten trillion, three hundred thirty-seven billion, nine hundred fifty-four million, seven hundred forty-two thousand, three hundred sixty-one".