353663544101 has 12 divisors (see below), whose sum is σ = 415045285452. Its totient is φ = 300457519488.

The previous prime is 353663544097. The next prime is 353663544107. The reversal of 353663544101 is 101445366353.

It can be written as a sum of positive squares in 2 ways, for example, as 100930113025 + 252733431076 = 317695^2 + 502726^2 .

It is not a de Polignac number, because 353663544101 - 2² = 353663544097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353663544107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31930850 + ... + 31941923.

It is an arithmetic number, because the mean of its divisors is an integer number (34587107121).

Almost surely, 2^353663544101 is an apocalyptic number.

It is an amenable number.

353663544101 is a deficient number, since it is larger than the sum of its proper divisors (61381741351).

353663544101 is a wasteful number, since it uses less digits than its factorization.

353663544101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63872900 (or 63872893 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 353663544101 in words is "three hundred fifty-three billion, six hundred sixty-three million, five hundred forty-four thousand, one hundred one".