157829898663369 has 135 divisors (see below), whose sum is σ = 248841052831063. Its totient is φ = 99684984979008.

The previous prime is 157829898663361. The next prime is 157829898663403. The reversal of 157829898663369 is 963366898928751.

The square root of 157829898663369 is 12563037.

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

157829898663369 is a `hidden beast` number, since 1 + 5 + 7 + 82 + 98 + 9 + 86 + 6 + 3 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92710034246025 + 65119864417344 = 9628605^2 + 8069688^2 .

It is not a de Polignac number, because 157829898663369 - 2³ = 157829898663361 is a prime.

It is a super-2 number, since 2×157829898663369² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157829898663361) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 356275166062 + ... + 356275166504.

Almost surely, 2^{157829898663369} is an apocalyptic number.

157829898663369 is the 12563037-th square number.

157829898663369 is the 6281519-th centered octagonal number.

It is an amenable number.

157829898663369 is a deficient number, since it is larger than the sum of its proper divisors (91011154167694).

157829898663369 is an frugal number, since it uses more digits than its factorization.

157829898663369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 606 counting only the distinct ones).

The product of its digits is 50791587840, while the sum is 90.

The spelling of 157829898663369 in words is "one hundred fifty-seven trillion, eight hundred twenty-nine billion, eight hundred ninety-eight million, six hundred sixty-three thousand, three hundred sixty-nine".