35663944801 has 9 divisors (see below), whose sum is σ = 35971164849. Its totient is φ = 35359331364.

The previous prime is 35663944787. The next prime is 35663944859. The reversal of 35663944801 is 10844936653.

It is a happy number.

The square root of 35663944801 is 188849.

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

It is not a de Polignac number, because 35663944801 - 2⁹ = 35663944289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35663944891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23983080 + ... + 23984566.

Almost surely, 2^35663944801 is an apocalyptic number.

35663944801 is the 188849-th square number.

35663944801 is the 94425-th centered octagonal number.

It is an amenable number.

35663944801 is a deficient number, since it is larger than the sum of its proper divisors (307220048).

35663944801 is an frugal number, since it uses more digits than its factorization.

35663944801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 35663944801 by its sum of digits (49), we get a square (1747533295249 = 1321943²).

The spelling of 35663944801 in words is "thirty-five billion, six hundred sixty-three million, nine hundred forty-four thousand, eight hundred one".