1801993704192 has 648 divisors, whose sum is σ = 5812607887632. Its totient is φ = 536433131520.

The previous prime is 1801993704187. The next prime is 1801993704209. The reversal of 1801993704192 is 2914073991081.

1801993704192 is a `hidden beast` number, since 1 + 8 + 0 + 199 + 37 + 0 + 419 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5757168228 + ... + 5757168540.

Almost surely, 2^{1801993704192} is an apocalyptic number.

1801993704192 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 1801993704192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906303943816).

1801993704192 is an abundant number, since it is smaller than the sum of its proper divisors (4010614183440).

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

1801993704192 is a wasteful number, since it uses less digits than its factorization.

1801993704192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1801993704192 in words is "one trillion, eight hundred one billion, nine hundred ninety-three million, seven hundred four thousand, one hundred ninety-two".