8229158559801 has 75 divisors (see below), whose sum is σ = 12765655770681. Its totient is φ = 5282953580016.

The previous prime is 8229158559709. The next prime is 8229158559827. The reversal of 8229158559801 is 1089558519228.

The square root of 8229158559801 is 2868651.

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

8229158559801 is a `hidden beast` number, since 8 + 2 + 29 + 1 + 58 + 559 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19558302201 + 8209600257600 = 139851^2 + 2865240^2 .

It is not a de Polignac number, because 8229158559801 - 2¹³ = 8229158551609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8229158559851) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 21712819230 + ... + 21712819608.

Almost surely, 2^{8229158559801} is an apocalyptic number.

8229158559801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8229158559801 is the 2868651-st square number.

8229158559801 is the 1434326-th centered octagonal number.

It is an amenable number.

8229158559801 is a deficient number, since it is larger than the sum of its proper divisors (4536497210880).

8229158559801 is an frugal number, since it uses more digits than its factorization.

8229158559801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 63.

The spelling of 8229158559801 in words is "eight trillion, two hundred twenty-nine billion, one hundred fifty-eight million, five hundred fifty-nine thousand, eight hundred one".