39785098696849 has 81 divisors (see below), whose sum is σ = 46344865851739. Its totient is φ = 34125321440320.

The previous prime is 39785098696781. The next prime is 39785098696907. The reversal of 39785098696849 is 94869689058793.

The square root of 39785098696849 is 6307543.

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., 8079550427025 + 31705548269824 = 2842455^2 + 5630768^2 .

It is not a de Polignac number, because 39785098696849 - 2²⁷ = 39784964479121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39785098696649) 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, 170751496437 + ... + 170751496669.

Almost surely, 2^{39785098696849} is an apocalyptic number.

39785098696849 is the 6307543-rd square number.

39785098696849 is the 3153772-nd centered octagonal number.

It is an amenable number.

39785098696849 is a deficient number, since it is larger than the sum of its proper divisors (6559767154890).

39785098696849 is an equidigital number, since it uses as much as digits as its factorization.

39785098696849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 50791587840, while the sum is 91.

The spelling of 39785098696849 in words is "thirty-nine trillion, seven hundred eighty-five billion, ninety-eight million, six hundred ninety-six thousand, eight hundred forty-nine".