21374147601 has 9 divisors (see below), whose sum is σ = 30874402299. Its totient is φ = 14249139336.

The previous prime is 21374147591. The next prime is 21374147629. The reversal of 21374147601 is 10674147312.

The square root of 21374147601 is 146199.

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

21374147601 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 4 + 1 + 47 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15879780225 + 5494367376 = 126015^2 + 74124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-21374147601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21374147671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 414231 + ... + 462963.

Almost surely, 2^21374147601 is an apocalyptic number.

21374147601 is the 146199-th square number.

21374147601 is the 73100-th centered octagonal number.

It is an amenable number.

21374147601 is a deficient number, since it is larger than the sum of its proper divisors (9500254698).

21374147601 is an frugal number, since it uses more digits than its factorization.

21374147601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97472 (or 48736 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 21374147601 by its sum of digits (36), we get a square (769469313636 = 877194²).

Multiplying 21374147601 by its product of nonzero digits (28224), we get a square (603263941890624 = 24561432²).

The spelling of 21374147601 in words is "twenty-one billion, three hundred seventy-four million, one hundred forty-seven thousand, six hundred one".