1632181609920 has 224 divisors, whose sum is σ = 5375838067200. Its totient is φ = 419066712064.

The previous prime is 1632181609913. The next prime is 1632181609939. The reversal of 1632181609920 is 299061812361.

It is a super-2 number, since 2×1632181609920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1632181609920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9912907 + ... + 10076213.

Almost surely, 2^{1632181609920} is an apocalyptic number.

1632181609920 is a gapful number since it is divisible by the number (10) 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 1632181609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687919033600).

1632181609920 is an abundant number, since it is smaller than the sum of its proper divisors (3743656457280).

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

1632181609920 is a wasteful number, since it uses less digits than its factorization.

1632181609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163715 (or 163705 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 1632181609920 in words is "one trillion, six hundred thirty-two billion, one hundred eighty-one million, six hundred nine thousand, nine hundred twenty".