1681325541312 has 448 divisors, whose sum is σ = 4790006419968. Its totient is φ = 519708672000.

The previous prime is 1681325541241. The next prime is 1681325541323. The reversal of 1681325541312 is 2131455231861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2209363012 + ... + 2209363772.

It is an arithmetic number, because the mean of its divisors is an integer number (10691978616).

Almost surely, 2^{1681325541312} is an apocalyptic number.

1681325541312 is a gapful number since it is divisible by the number (12) 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 1681325541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395003209984).

1681325541312 is an abundant number, since it is smaller than the sum of its proper divisors (3108680878656).

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

1681325541312 is a wasteful number, since it uses less digits than its factorization.

1681325541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 1681325541312 in words is "one trillion, six hundred eighty-one billion, three hundred twenty-five million, five hundred forty-one thousand, three hundred twelve".