1681874035136 has 224 divisors, whose sum is σ = 3542581647360. Its totient is φ = 791138267136.

The previous prime is 1681874035109. The next prime is 1681874035199. The reversal of 1681874035136 is 6315304781861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5943017651 + ... + 5943017933.

It is an arithmetic number, because the mean of its divisors is an integer number (15815096640).

Almost surely, 2^{1681874035136} is an apocalyptic number.

1681874035136 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 1681874035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771290823680).

1681874035136 is an abundant number, since it is smaller than the sum of its proper divisors (1860707612224).

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

1681874035136 is a wasteful number, since it uses less digits than its factorization.

1681874035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 1681874035136 in words is "one trillion, six hundred eighty-one billion, eight hundred seventy-four million, thirty-five thousand, one hundred thirty-six".