1988361986688 has 1792 divisors, whose sum is σ = 7808657817600. Its totient is φ = 489104179200.

The previous prime is 1988361986671. The next prime is 1988361986759. The reversal of 1988361986688 is 8866891638891.

1988361986688 is a `hidden beast` number, since 1 + 98 + 8 + 361 + 98 + 6 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 17596123720 + ... + 17596123832.

Almost surely, 2^{1988361986688} is an apocalyptic number.

1988361986688 is a gapful number since it is divisible by the number (18) 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 1988361986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904328908800).

1988361986688 is an abundant number, since it is smaller than the sum of its proper divisors (5820295830912).

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

1988361986688 is a wasteful number, since it uses less digits than its factorization.

1988361986688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 81.

It can be divided in two parts, 1988 and 361986688, that added together give a square (361988676 = 19026²).

The spelling of 1988361986688 in words is "one trillion, nine hundred eighty-eight billion, three hundred sixty-one million, nine hundred eighty-six thousand, six hundred eighty-eight".