8419172299561 has 9 divisors (see below), whose sum is σ = 8432508727461. Its totient is φ = 8405856944352.

The previous prime is 8419172299387. The next prime is 8419172299631. The reversal of 8419172299561 is 1659922719148.

The square root of 8419172299561 is 2901581.

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 276025195161 + 8143147104400 = 525381^2 + 2853620^2 .

It is not a de Polignac number, because 8419172299561 - 2⁹ = 8419172299049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8419172299493 and 8419172299502.

It is not an unprimeable number, because it can be changed into a prime (8419172299061) 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, 2196494901 + ... + 2196498733.

Almost surely, 2^{8419172299561} is an apocalyptic number.

8419172299561 is the 2901581-st square number.

8419172299561 is the 1450791-st centered octagonal number.

It is an amenable number.

8419172299561 is a deficient number, since it is larger than the sum of its proper divisors (13336427900).

8419172299561 is an frugal number, since it uses more digits than its factorization.

8419172299561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180 (or 4590 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 64.

Multiplying 8419172299561 by its sum of digits (64), we get a square (538827027171904 = 23212648²).

The spelling of 8419172299561 in words is "eight trillion, four hundred nineteen billion, one hundred seventy-two million, two hundred ninety-nine thousand, five hundred sixty-one".