39116856396409 has 9 divisors (see below), whose sum is σ = 42996289676431. Its totient is φ = 35560715998720.

The previous prime is 39116856396391. The next prime is 39116856396439. The reversal of 39116856396409 is 90469365861193.

The square root of 39116856396409 is 6254347.

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., 13329472412025 + 25787383984384 = 3650955^2 + 5078128^2 .

It is not a de Polignac number, because 39116856396409 - 2⁷ = 39116856396281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39116856396439) 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, 68513529 + ... + 69082105.

Almost surely, 2^{39116856396409} is an apocalyptic number.

39116856396409 is the 6254347-th square number.

39116856396409 is the 3127174-th centered octagonal number.

It is an amenable number.

39116856396409 is a deficient number, since it is larger than the sum of its proper divisors (3879433280022).

39116856396409 is an frugal number, since it uses more digits than its factorization.

39116856396409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137176 (or 568588 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 70.

The spelling of 39116856396409 in words is "thirty-nine trillion, one hundred sixteen billion, eight hundred fifty-six million, three hundred ninety-six thousand, four hundred nine".