1681617619984 has 45 divisors (see below), whose sum is σ = 3304121514039. Its totient is φ = 829104145920.

The previous prime is 1681617619951. The next prime is 1681617620069. The reversal of 1681617619984 is 4899167161861.

The square root of 1681617619984 is 1296772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3742992400 + 1677874627584 = 61180^2 + 1295328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 378655204 + ... + 378659644.

Almost surely, 2^{1681617619984} is an apocalyptic number.

1681617619984 is the 1296772-nd square number.

It is an amenable number.

1681617619984 is a deficient number, since it is larger than the sum of its proper divisors (1622503894055).

1681617619984 is an frugal number, since it uses more digits than its factorization.

1681617619984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 4516 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 67.

The spelling of 1681617619984 in words is "one trillion, six hundred eighty-one billion, six hundred seventeen million, six hundred nineteen thousand, nine hundred eighty-four".