39852618029449 has 27 divisors (see below), whose sum is σ = 41262343138471. Its totient is φ = 38490466168160.

The previous prime is 39852618029431. The next prime is 39852618029527. The reversal of 39852618029449 is 94492081625893.

The square root of 39852618029449 is 6312893.

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., 1920322463049 + 37932295566400 = 1385757^2 + 6158920^2 .

It is not a de Polignac number, because 39852618029449 - 2⁷ = 39852618029321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39852618029249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27694660872 + ... + 27694662310.

Almost surely, 2^{39852618029449} is an apocalyptic number.

39852618029449 is the 6312893-rd square number.

39852618029449 is the 3156447-th centered octagonal number.

It is an amenable number.

39852618029449 is a deficient number, since it is larger than the sum of its proper divisors (1409725109022).

39852618029449 is an frugal number, since it uses more digits than its factorization.

39852618029449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 70.

The spelling of 39852618029449 in words is "thirty-nine trillion, eight hundred fifty-two billion, six hundred eighteen million, twenty-nine thousand, four hundred forty-nine".