1828912731129 has 81 divisors (see below), whose sum is σ = 2938820480869. Its totient is φ = 1095205750320.

The previous prime is 1828912731119. The next prime is 1828912731167. The reversal of 1828912731129 is 9211372198281.

The square root of 1828912731129 is 1352373.

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

1828912731129 is a `hidden beast` number, since 1 + 8 + 289 + 1 + 27 + 311 + 29 = 666.

It is not a de Polignac number, because 1828912731129 - 2⁵ = 1828912731097 is a prime.

It is a super-2 number, since 2×1828912731129² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (870912) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (1828912731119) 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, 4775228872 + ... + 4775229254.

Almost surely, 2^{1828912731129} is an apocalyptic number.

1828912731129 is the 1352373-rd square number.

1828912731129 is the 676187-th centered octagonal number.

It is an amenable number.

1828912731129 is a deficient number, since it is larger than the sum of its proper divisors (1109907749740).

1828912731129 is an equidigital number, since it uses as much as digits as its factorization.

1828912731129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 1828912731129 in words is "one trillion, eight hundred twenty-eight billion, nine hundred twelve million, seven hundred thirty-one thousand, one hundred twenty-nine".