1681291627392 has 192 divisors, whose sum is σ = 4872829484160. Its totient is φ = 513368893440.

The previous prime is 1681291627363. The next prime is 1681291627403. The reversal of 1681291627392 is 2937261921861.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8402493 + ... + 8600259.

It is an arithmetic number, because the mean of its divisors is an integer number (25379320230).

Almost surely, 2^{1681291627392} is an apocalyptic number.

1681291627392 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 1681291627392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436414742080).

1681291627392 is an abundant number, since it is smaller than the sum of its proper divisors (3191537856768).

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

1681291627392 is a wasteful number, since it uses less digits than its factorization.

1681291627392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197941 (or 197916 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 1681291627392 in words is "one trillion, six hundred eighty-one billion, two hundred ninety-one million, six hundred twenty-seven thousand, three hundred ninety-two".