1829829389616 has 120 divisors (see below), whose sum is σ = 5262703512144. Its totient is φ = 593083814400.

The previous prime is 1829829389603. The next prime is 1829829389701. The reversal of 1829829389616 is 6169839289281.

1829829389616 is a `hidden beast` number, since 1 + 82 + 98 + 29 + 389 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8401291 + ... + 8616341.

Almost surely, 2^{1829829389616} is an apocalyptic number.

1829829389616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829829389616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631351756072).

1829829389616 is an abundant number, since it is smaller than the sum of its proper divisors (3432874122528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1829829389616 is a wasteful number, since it uses less digits than its factorization.

1829829389616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216699 (or 216690 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 1829829389616 in words is "one trillion, eight hundred twenty-nine billion, eight hundred twenty-nine million, three hundred eighty-nine thousand, six hundred sixteen".