1936391920849 has 9 divisors (see below), whose sum is σ = 1940272338459. Its totient is φ = 1932519256680.

The previous prime is 1936391920847. The next prime is 1936391920861. The reversal of 1936391920849 is 9480291936391.

It is a happy number.

The square root of 1936391920849 is 1391543.

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., 450596700225 + 1485795220624 = 671265^2 + 1218932^2 .

It is not a de Polignac number, because 1936391920849 - 2¹ = 1936391920847 is a prime.

It is a super-2 number, since 2×1936391920849² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1936391920847) 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, 908676514 + ... + 908678644.

Almost surely, 2^{1936391920849} is an apocalyptic number.

1936391920849 is the 1391543-rd square number.

1936391920849 is the 695772-nd centered octagonal number.

It is an amenable number.

1936391920849 is a deficient number, since it is larger than the sum of its proper divisors (3880417610).

1936391920849 is an frugal number, since it uses more digits than its factorization.

1936391920849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 64.

Multiplying 1936391920849 by its sum of digits (64), we get a square (123929082934336 = 11132344²).

The spelling of 1936391920849 in words is "one trillion, nine hundred thirty-six billion, three hundred ninety-one million, nine hundred twenty thousand, eight hundred forty-nine".