185029828989489 has 81 divisors (see below), whose sum is σ = 312080983039371. Its totient is φ = 105538508634240.

The previous prime is 185029828989457. The next prime is 185029828989493. The reversal of 185029828989489 is 984989828920581.

It is a happy number.

The square root of 185029828989489 is 13602567.

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

185029828989489 is a `hidden beast` number, since 1 + 8 + 5 + 0 + 29 + 8 + 28 + 9 + 89 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144054365130225 + 40975463859264 = 12002265^2 + 6401208^2 .

It is not a de Polignac number, because 185029828989489 - 2⁵ = 185029828989457 is a prime.

It is a super-2 number, since 2×185029828989489² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 185029828989399 and 185029828989408.

It is not an unprimeable number, because it can be changed into a prime (185029828982489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7631027964 + ... + 7631052210.

Almost surely, 2^{185029828989489} is an apocalyptic number.

185029828989489 is the 13602567-th square number.

185029828989489 is the 6801284-th centered octagonal number.

It is an amenable number.

185029828989489 is a deficient number, since it is larger than the sum of its proper divisors (127051154049882).

185029828989489 is an frugal number, since it uses more digits than its factorization.

185029828989489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48556 (or 24278 counting only the distinct ones).

The product of its (nonzero) digits is 17199267840, while the sum is 90.

The spelling of 185029828989489 in words is "one hundred eighty-five trillion, twenty-nine billion, eight hundred twenty-eight million, nine hundred eighty-nine thousand, four hundred eighty-nine".