22978610547201 has 27 divisors (see below), whose sum is σ = 33364779006403. Its totient is φ = 15239432811120.

The previous prime is 22978610547187. The next prime is 22978610547203. The reversal of 22978610547201 is 10274501687922.

The square root of 22978610547201 is 4793601.

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

22978610547201 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 86 + 10 + 547 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22514408154225 + 464202392976 = 4744935^2 + 681324^2 .

It is not a de Polignac number, because 22978610547201 - 2¹¹ = 22978610545153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22978610547203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2833014136 + ... + 2833022246.

Almost surely, 2^{22978610547201} is an apocalyptic number.

22978610547201 is the 4793601-st square number.

22978610547201 is the 2396801-st centered octagonal number.

It is an amenable number.

22978610547201 is a deficient number, since it is larger than the sum of its proper divisors (10386168459202).

22978610547201 is an frugal number, since it uses more digits than its factorization.

22978610547201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16622 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 22978610547201 in words is "twenty-two trillion, nine hundred seventy-eight billion, six hundred ten million, five hundred forty-seven thousand, two hundred one".