1909713941776 has 45 divisors (see below), whose sum is σ = 3723446602351. Its totient is φ = 948862184576.

The previous prime is 1909713941741. The next prime is 1909713941777. The reversal of 1909713941776 is 6771493179091.

The square root of 1909713941776 is 1381924.

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 40915580176 + 1868798361600 = 202276^2 + 1367040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1909713941777) 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, 956290410 + ... + 956292406.

Almost surely, 2^{1909713941776} is an apocalyptic number.

1909713941776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1909713941776 is the 1381924-th square number.

It is an amenable number.

1909713941776 is a deficient number, since it is larger than the sum of its proper divisors (1813732660575).

1909713941776 is an frugal number, since it uses more digits than its factorization.

1909713941776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 64.

Multiplying 1909713941776 by its sum of digits (64), we get a square (122221692273664 = 11055392²).

The spelling of 1909713941776 in words is "one trillion, nine hundred nine billion, seven hundred thirteen million, nine hundred forty-one thousand, seven hundred seventy-six".