21301694401 has 27 divisors (see below), whose sum is σ = 23508103689. Its totient is φ = 19293554592.

The previous prime is 21301694387. The next prime is 21301694411. The reversal of 21301694401 is 10449610312.

The square root of 21301694401 is 145951.

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

It can be written as a sum of positive squares in 4 ways, for example, as 745017025 + 20556677376 = 27295^2 + 143376^2 .

It is not a de Polignac number, because 21301694401 - 2⁵ = 21301694369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21301694411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 195428335 + ... + 195428443.

It is an arithmetic number, because the mean of its divisors is an integer number (870670507).

Almost surely, 2^21301694401 is an apocalyptic number.

21301694401 is the 145951-st square number.

21301694401 is the 72976-th centered octagonal number.

It is an amenable number.

21301694401 is a deficient number, since it is larger than the sum of its proper divisors (2206409288).

21301694401 is an equidigital number, since it uses as much as digits as its factorization.

21301694401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 21301694401 by its product of nonzero digits (5184), we get a square (110427983774784 = 10508472²).

The spelling of 21301694401 in words is "twenty-one billion, three hundred one million, six hundred ninety-four thousand, four hundred one".