1984698097536 has 1024 divisors, whose sum is σ = 7018654924800. Its totient is φ = 485753241600.

The previous prime is 1984698097523. The next prime is 1984698097541. The reversal of 1984698097536 is 6357908964891.

It is a super-3 number, since 3×1984698097536³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7323609081 + ... + 7323609351.

It is an arithmetic number, because the mean of its divisors is an integer number (6854155200).

Almost surely, 2^{1984698097536} is an apocalyptic number.

1984698097536 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 1984698097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509327462400).

1984698097536 is an abundant number, since it is smaller than the sum of its proper divisors (5033956827264).

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

1984698097536 is a wasteful number, since it uses less digits than its factorization.

1984698097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 75.

The spelling of 1984698097536 in words is "one trillion, nine hundred eighty-four billion, six hundred ninety-eight million, ninety-seven thousand, five hundred thirty-six".