1998329973696 has 1120 divisors, whose sum is σ = 7358504423424. Its totient is φ = 524040192000.

The previous prime is 1998329973667. The next prime is 1998329973721. The reversal of 1998329973696 is 6963799238991.

1998329973696 is a `hidden beast` number, since 1 + 9 + 98 + 329 + 97 + 36 + 96 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1706515191 + ... + 1706516361.

Almost surely, 2^{1998329973696} is an apocalyptic number.

1998329973696 is a gapful number since it is divisible by the number (16) 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 1998329973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679252211712).

1998329973696 is an abundant number, since it is smaller than the sum of its proper divisors (5360174449728).

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

1998329973696 is a wasteful number, since it uses less digits than its factorization.

1998329973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1292 counting only the distinct ones).

The product of its digits is 2142770112, while the sum is 81.

The spelling of 1998329973696 in words is "one trillion, nine hundred ninety-eight billion, three hundred twenty-nine million, nine hundred seventy-three thousand, six hundred ninety-six".