20625049673361 has 63 divisors (see below), whose sum is σ = 35973648480171. Its totient is φ = 11785252190544.

The previous prime is 20625049673339. The next prime is 20625049673399. The reversal of 20625049673361 is 16337694052602.

The square root of 20625049673361 is 4541481.

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

20625049673361 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 50 + 496 + 73 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20611318520961 + 13731152400 = 4539969^2 + 117180^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 20625049673361 - 2⁹ = 20625049672849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20625049673298 and 20625049673307.

It is not an unprimeable number, because it can be changed into a prime (20625049675361) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 858327895 + ... + 858351923.

Almost surely, 2^{20625049673361} is an apocalyptic number.

20625049673361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20625049673361 is the 4541481-st square number.

20625049673361 is the 2270741-st centered octagonal number.

It is an amenable number.

20625049673361 is a deficient number, since it is larger than the sum of its proper divisors (15348598806810).

20625049673361 is an frugal number, since it uses more digits than its factorization.

20625049673361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48090 (or 24039 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 20625049673361 in words is "twenty trillion, six hundred twenty-five billion, forty-nine million, six hundred seventy-three thousand, three hundred sixty-one".