1681204994000 has 480 divisors, whose sum is σ = 4941194412960. Its totient is φ = 550932480000.

The previous prime is 1681204993997. The next prime is 1681204994003. The reversal of 1681204994000 is 4994021861.

It is an interprime number because it is at equal distance from previous prime (1681204993997) and next prime (1681204994003).

It can be written as a sum of positive squares in 16 ways, for example, as 277273858624 + 1403931135376 = 526568^2 + 1184876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681204994003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287039072 + ... + 287044928.

It is an arithmetic number, because the mean of its divisors is an integer number (10294155027).

Almost surely, 2^{1681204994000} is an apocalyptic number.

1681204994000 is a gapful number since it is divisible by the number (10) 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 1681204994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470597206480).

1681204994000 is an abundant number, since it is smaller than the sum of its proper divisors (3259989418960).

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

1681204994000 is a wasteful number, since it uses less digits than its factorization.

1681204994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 1681204994000 in words is "one trillion, six hundred eighty-one billion, two hundred four million, nine hundred ninety-four thousand".