8237628996129 has 315 divisors, whose sum is σ = 14607872871837. Its totient is φ = 4642166370816.

The previous prime is 8237628996083. The next prime is 8237628996187. The reversal of 8237628996129 is 9216998267328.

The square root of 8237628996129 is 2870127.

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

8237628996129 is a `hidden beast` number, since 8 + 237 + 6 + 289 + 96 + 1 + 29 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 8229881475729 + 7747520400 = 2868777^2 + 88020^2 .

It is not a de Polignac number, because 8237628996129 - 2⁷ = 8237628996001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8237628996199) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 222638621499 + ... + 222638621535.

Almost surely, 2^{8237628996129} is an apocalyptic number.

8237628996129 is the 2870127-th square number.

8237628996129 is the 1435064-th centered octagonal number.

It is an amenable number.

8237628996129 is a deficient number, since it is larger than the sum of its proper divisors (6370243875708).

8237628996129 is an frugal number, since it uses more digits than its factorization.

8237628996129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 70 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 8237628996129 in words is "eight trillion, two hundred thirty-seven billion, six hundred twenty-eight million, nine hundred ninety-six thousand, one hundred twenty-nine".