1992753886144 has 336 divisors, whose sum is σ = 5091660103680. Its totient is φ = 767974072320.

The previous prime is 1992753886121. The next prime is 1992753886171. The reversal of 1992753886144 is 4416883572991.

It is a self number, because there is not a number n which added to its sum of digits gives 1992753886144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130553457 + ... + 130568719.

Almost surely, 2^{1992753886144} is an apocalyptic number.

1992753886144 is a gapful number since it is divisible by the number (14) 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 1992753886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545830051840).

1992753886144 is an abundant number, since it is smaller than the sum of its proper divisors (3098906217536).

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

1992753886144 is a wasteful number, since it uses less digits than its factorization.

1992753886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15399 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 67.

The spelling of 1992753886144 in words is "one trillion, nine hundred ninety-two billion, seven hundred fifty-three million, eight hundred eighty-six thousand, one hundred forty-four".