1661372184100 has 72 divisors (see below), whose sum is σ = 3725289566208. Its totient is φ = 642452390400.

The previous prime is 1661372184089. The next prime is 1661372184119. The reversal of 1661372184100 is 14812731661.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2754429 + ... + 3302971.

It is an arithmetic number, because the mean of its divisors is an integer number (51740132864).

Almost surely, 2^{1661372184100} is an apocalyptic number.

1661372184100 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 1661372184100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862644783104).

1661372184100 is an abundant number, since it is smaller than the sum of its proper divisors (2063917382108).

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

1661372184100 is a wasteful number, since it uses less digits than its factorization.

1661372184100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549565 (or 549558 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 1661372184100 in words is "one trillion, six hundred sixty-one billion, three hundred seventy-two million, one hundred eighty-four thousand, one hundred".