39947114859129 has 27 divisors (see below), whose sum is σ = 59623643620047. Its totient is φ = 25771952944800.

The previous prime is 39947114859089. The next prime is 39947114859131. The reversal of 39947114859129 is 92195841174993.

The square root of 39947114859129 is 6320373.

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

39947114859129 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 7 + 1 + 1 + 4 + 8 + 591 + 29 = 666.

39947114859129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39102847913529 + 844266945600 = 6253227^2 + 918840^2 .

It is not a de Polignac number, because 39947114859129 - 2¹¹ = 39947114857081 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39947114859629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 587760709 + ... + 587828669.

Almost surely, 2^{39947114859129} is an apocalyptic number.

39947114859129 is the 6320373-rd square number.

39947114859129 is the 3160187-th centered octagonal number.

It is an amenable number.

39947114859129 is a deficient number, since it is larger than the sum of its proper divisors (19676528760918).

39947114859129 is an frugal number, since it uses more digits than its factorization.

39947114859129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135990 (or 67995 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 39947114859129 in words is "thirty-nine trillion, nine hundred forty-seven billion, one hundred fourteen million, eight hundred fifty-nine thousand, one hundred twenty-nine".