10204629661961 has 16 divisors (see below), whose sum is σ = 11861147105280. Its totient is φ = 8597816641680.

The previous prime is 10204629661957. The next prime is 10204629662089. The reversal of 10204629661961 is 16916692640201.

It is not a de Polignac number, because 10204629661961 - 2² = 10204629661957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10204629661921) 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 15 ways as a sum of consecutive naturals, for example, 3630080 + ... + 5795406.

It is an arithmetic number, because the mean of its divisors is an integer number (741321694080).

Almost surely, 2^{10204629661961} is an apocalyptic number.

It is an amenable number.

10204629661961 is a deficient number, since it is larger than the sum of its proper divisors (1656517443319).

10204629661961 is a wasteful number, since it uses less digits than its factorization.

10204629661961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176804.

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 10204629661961 in words is "ten trillion, two hundred four billion, six hundred twenty-nine million, six hundred sixty-one thousand, nine hundred sixty-one".