35749959682129 has 45 divisors (see below), whose sum is σ = 45846050437019. Its totient is φ = 27854600207280.

The previous prime is 35749959682117. The next prime is 35749959682139. The reversal of 35749959682129 is 92128695994753.

The square root of 35749959682129 is 5979127.

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., 29782941890625 + 5967017791504 = 5457375^2 + 2442748^2 .

It is not a de Polignac number, because 35749959682129 - 2²³ = 35749951293521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35749959682139) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3222743907 + ... + 3222754999.

Almost surely, 2^{35749959682129} is an apocalyptic number.

35749959682129 is the 5979127-th square number.

35749959682129 is the 2989564-th centered octagonal number.

It is an amenable number.

35749959682129 is a deficient number, since it is larger than the sum of its proper divisors (10096090754890).

35749959682129 is an frugal number, since it uses more digits than its factorization.

35749959682129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22236 (or 11111 counting only the distinct ones).

The product of its digits is 2645395200, while the sum is 79.

The spelling of 35749959682129 in words is "thirty-five trillion, seven hundred forty-nine billion, nine hundred fifty-nine million, six hundred eighty-two thousand, one hundred twenty-nine".