21364763171401 has 16 divisors (see below), whose sum is σ = 23054812170768. Its totient is φ = 19681395840000.

The previous prime is 21364763171341. The next prime is 21364763171407. The reversal of 21364763171401 is 10417136746312.

It can be written as a sum of positive squares in 8 ways, for example, as 221136003001 + 21143627168400 = 470251^2 + 4598220^2 .

It is a cyclic number.

It is not a de Polignac number, because 21364763171401 - 2³⁵ = 21330403433033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21364763171407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21204351 + ... + 22189051.

It is an arithmetic number, because the mean of its divisors is an integer number (1440925760673).

Almost surely, 2^{21364763171401} is an apocalyptic number.

It is an amenable number.

21364763171401 is a deficient number, since it is larger than the sum of its proper divisors (1690048999367).

21364763171401 is a wasteful number, since it uses less digits than its factorization.

21364763171401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988092.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 21364763171401 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred sixty-three million, one hundred seventy-one thousand, four hundred one".