1681192513728 has 672 divisors, whose sum is σ = 6298694438400. Its totient is φ = 416309870592.

The previous prime is 1681192513711. The next prime is 1681192513757. The reversal of 1681192513728 is 8273152911861.

1681192513728 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 19 + 251 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112529683 + ... + 112544621.

It is an arithmetic number, because the mean of its divisors is an integer number (9373057200).

Almost surely, 2^{1681192513728} is an apocalyptic number.

1681192513728 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 1681192513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149347219200).

1681192513728 is an abundant number, since it is smaller than the sum of its proper divisors (4617501924672).

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

1681192513728 is a wasteful number, since it uses less digits than its factorization.

1681192513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15109 (or 15096 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 1681192513728 in words is "one trillion, six hundred eighty-one billion, one hundred ninety-two million, five hundred thirteen thousand, seven hundred twenty-eight".