11621006105661 has 40 divisors (see below), whose sum is σ = 17515685204160. Its totient is φ = 7677775340928.

The previous prime is 11621006105647. The next prime is 11621006105689. The reversal of 11621006105661 is 16650160012611.

11621006105661 is a `hidden beast` number, since 1 + 16 + 21 + 0 + 0 + 61 + 0 + 566 + 1 = 666.

It is not a de Polignac number, because 11621006105661 - 2¹⁰ = 11621006104637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621006100661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73685256 + ... + 73842798.

It is an arithmetic number, because the mean of its divisors is an integer number (437892130104).

Almost surely, 2^{11621006105661} is an apocalyptic number.

It is an amenable number.

11621006105661 is a deficient number, since it is larger than the sum of its proper divisors (5894679098499).

11621006105661 is a wasteful number, since it uses less digits than its factorization.

11621006105661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165727 (or 165718 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11621006105661 in words is "eleven trillion, six hundred twenty-one billion, six million, one hundred five thousand, six hundred sixty-one".