35755699874449 has 9 divisors (see below), whose sum is σ = 36748415644731. Its totient is φ = 34789114341720.

The previous prime is 35755699874393. The next prime is 35755699874483. The reversal of 35755699874449 is 94447899655753.

The square root of 35755699874449 is 5979607.

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., 31994691268225 + 3761008606224 = 5656385^2 + 1939332^2 .

It is not a de Polignac number, because 35755699874449 - 2⁹ = 35755699873937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35755699874149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221164654 + ... + 221326264.

It is an arithmetic number, because the mean of its divisors is an integer number (4083157293859).

Almost surely, 2^{35755699874449} is an apocalyptic number.

35755699874449 is the 5979607-th square number.

35755699874449 is the 2989804-th centered octagonal number.

It is an amenable number.

35755699874449 is a deficient number, since it is larger than the sum of its proper divisors (992715770282).

35755699874449 is an frugal number, since it uses more digits than its factorization.

35755699874449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323296 (or 161648 counting only the distinct ones).

The product of its digits is 41150592000, while the sum is 85.

The spelling of 35755699874449 in words is "thirty-five trillion, seven hundred fifty-five billion, six hundred ninety-nine million, eight hundred seventy-four thousand, four hundred forty-nine".