201829381820 has 144 divisors (see below), whose sum is σ = 489065472000. Its totient is φ = 69819657600.

The previous prime is 201829381813. The next prime is 201829381841. The reversal of 201829381820 is 28183928102.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4403381 + ... + 4448979.

It is an arithmetic number, because the mean of its divisors is an integer number (3396288000).

Almost surely, 2^201829381820 is an apocalyptic number.

201829381820 is a gapful number since it is divisible by the number (20) 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 201829381820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244532736000).

201829381820 is an abundant number, since it is smaller than the sum of its proper divisors (287236090180).

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

201829381820 is a wasteful number, since it uses less digits than its factorization.

201829381820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45720 (or 45707 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 201829381820 in words is "two hundred one billion, eight hundred twenty-nine million, three hundred eighty-one thousand, eight hundred twenty".