1803686556672 has 3168 divisors, whose sum is σ = 7926137017344. Its totient is φ = 386452684800.

The previous prime is 1803686556671. The next prime is 1803686556673. The reversal of 1803686556672 is 2766556863081.

1803686556672 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 6 + 8 + 6 + 556 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1803686556671) and next prime (1803686556673).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803686556671) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34031821798 + ... + 34031821850.

Almost surely, 2^{1803686556672} is an apocalyptic number.

1803686556672 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 1803686556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963068508672).

1803686556672 is an abundant number, since it is smaller than the sum of its proper divisors (6122450460672).

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

1803686556672 is a wasteful number, since it uses less digits than its factorization.

1803686556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 1803686556672 in words is "one trillion, eight hundred three billion, six hundred eighty-six million, five hundred fifty-six thousand, six hundred seventy-two".