39844108703961 has 81 divisors (see below), whose sum is σ = 62186520771063. Its totient is φ = 24578265853440.

The previous prime is 39844108703953. The next prime is 39844108703963. The reversal of 39844108703961 is 16930780144893.

The square root of 39844108703961 is 6312219.

It is a perfect power (a square), and thus also a powerful number.

39844108703961 is a `hidden beast` number, since 3 + 9 + 84 + 410 + 87 + 0 + 3 + 9 + 61 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5970032523225 + 33874076180736 = 2443365^2 + 5820144^2 .

It is not a de Polignac number, because 39844108703961 - 2³ = 39844108703953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39844108703963) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19637312295 + ... + 19637314323.

Almost surely, 2^{39844108703961} is an apocalyptic number.

39844108703961 is the 6312219-th square number.

39844108703961 is the 3156110-th centered octagonal number.

It is an amenable number.

39844108703961 is a deficient number, since it is larger than the sum of its proper divisors (22342412067102).

39844108703961 is an frugal number, since it uses more digits than its factorization.

39844108703961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 39844108703961 in words is "thirty-nine trillion, eight hundred forty-four billion, one hundred eight million, seven hundred three thousand, nine hundred sixty-one".