8415226611801 has 27 divisors (see below), whose sum is σ = 12829004742879. Its totient is φ = 5314775532912.

The previous prime is 8415226611761. The next prime is 8415226611809. The reversal of 8415226611801 is 1081166225148.

The square root of 8415226611801 is 2900901.

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

8415226611801 is a `hidden beast` number, since 8 + 4 + 1 + 5 + 2 + 26 + 611 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8265537225 + 8406961074576 = 90915^2 + 2899476^2 .

It is not a de Polignac number, because 8415226611801 - 2¹¹ = 8415226609753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8415226611809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165325911 + ... + 165376803.

Almost surely, 2^{8415226611801} is an apocalyptic number.

8415226611801 is the 2900901-st square number.

8415226611801 is the 1450451-st centered octagonal number.

It is an amenable number.

8415226611801 is a deficient number, since it is larger than the sum of its proper divisors (4413778131078).

8415226611801 is an frugal number, since it uses more digits than its factorization.

8415226611801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101830 (or 50915 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 8415226611801 in words is "eight trillion, four hundred fifteen billion, two hundred twenty-six million, six hundred eleven thousand, eight hundred one".