156829464289 has 15 divisors (see below), whose sum is σ = 165693187427. Its totient is φ = 148439844144.

The previous prime is 156829464283. The next prime is 156829464293. The reversal of 156829464289 is 982464928651.

The square root of 156829464289 is 396017.

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

It can be written as a sum of positive squares in only one way, i.e., 44599104225 + 112230360064 = 211185^2 + 335008^2 .

It is not a de Polignac number, because 156829464289 - 2¹⁷ = 156829333217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 156829464289.

It is not an unprimeable number, because it can be changed into a prime (156829464283) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 142961589 + ... + 142962685.

Almost surely, 2^156829464289 is an apocalyptic number.

156829464289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

156829464289 is the 396017-th square number.

156829464289 is the 198009-th centered octagonal number.

It is an amenable number.

156829464289 is a deficient number, since it is larger than the sum of its proper divisors (8863723138).

156829464289 is an frugal number, since it uses more digits than its factorization.

156829464289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 1116 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 64.

Multiplying 156829464289 by its sum of digits (64), we get a square (10037085714496 = 3168136²).

The spelling of 156829464289 in words is "one hundred fifty-six billion, eight hundred twenty-nine million, four hundred sixty-four thousand, two hundred eighty-nine".