21682268001 has 15 divisors (see below), whose sum is σ = 32391540643. Its totient is φ = 14453961840.

The previous prime is 21682267963. The next prime is 21682268059. The reversal of 21682268001 is 10086228612.

The square root of 21682268001 is 147249.

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

It can be written as a sum of positive squares in only one way, i.e., 8244821601 + 13437446400 = 90801^2 + 115920^2 .

It is not a de Polignac number, because 21682268001 - 2⁹ = 21682267489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21682268501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1317061 + ... + 1333421.

Almost surely, 2^21682268001 is an apocalyptic number.

21682268001 is the 147249-th square number.

21682268001 is the 73625-th centered octagonal number.

It is an amenable number.

21682268001 is a deficient number, since it is larger than the sum of its proper divisors (10709272642).

21682268001 is an frugal number, since it uses more digits than its factorization.

21682268001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32734 (or 16364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 21682268001 by its sum of digits (36), we get a square (780561648036 = 883494²).

The spelling of 21682268001 in words is "twenty-one billion, six hundred eighty-two million, two hundred sixty-eight thousand, one".