1803181986672 has 480 divisors, whose sum is σ = 5445230054400. Its totient is φ = 509820549120.

The previous prime is 1803181986643. The next prime is 1803181986673. The reversal of 1803181986672 is 2766891813081.

It is a super-4 number, since 4×1803181986672⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803181986673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4913302233 + ... + 4913302599.

It is an arithmetic number, because the mean of its divisors is an integer number (11344229280).

Almost surely, 2^{1803181986672} is an apocalyptic number.

1803181986672 is a gapful number since it is divisible by the number (12) 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 1803181986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722615027200).

1803181986672 is an abundant number, since it is smaller than the sum of its proper divisors (3642048067728).

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

1803181986672 is a wasteful number, since it uses less digits than its factorization.

1803181986672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 1803181986672 in words is "one trillion, eight hundred three billion, one hundred eighty-one million, nine hundred eighty-six thousand, six hundred seventy-two".