1936798272721 has 9 divisors (see below), whose sum is σ = 2097262690929. Its totient is φ = 1787797089936.

The previous prime is 1936798272659. The next prime is 1936798272749. The reversal of 1936798272721 is 1272728976391.

The square root of 1936798272721 is 1391689.

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 12474432721 + 1924323840000 = 111689^2 + 1387200^2 .

It is not a de Polignac number, because 1936798272721 - 2²⁷ = 1936664054993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1936798272421) 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, 18038431 + ... + 18145483.

It is an arithmetic number, because the mean of its divisors is an integer number (233029187881).

Almost surely, 2^{1936798272721} is an apocalyptic number.

1936798272721 is the 1391689-th square number.

1936798272721 is the 695845-th centered octagonal number.

It is an amenable number.

1936798272721 is a deficient number, since it is larger than the sum of its proper divisors (160464418208).

1936798272721 is an frugal number, since it uses more digits than its factorization.

1936798272721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214132 (or 107066 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 64.

Multiplying 1936798272721 by its sum of digits (64), we get a square (123955089454144 = 11133512²).

The spelling of 1936798272721 in words is "one trillion, nine hundred thirty-six billion, seven hundred ninety-eight million, two hundred seventy-two thousand, seven hundred twenty-one".