1647382518016 has 81 divisors (see below), whose sum is σ = 3326602232289. Its totient is φ = 814213865472.

The previous prime is 1647382517971. The next prime is 1647382518077. The reversal of 1647382518016 is 6108152837461.

The square root of 1647382518016 is 1283504.

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

It can be written as a sum of positive squares in only one way, i.e., 739737606400 + 907644911616 = 860080^2 + 952704^2 .

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, 1991997795 + ... + 1991998621.

Almost surely, 2^{1647382518016} is an apocalyptic number.

1647382518016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1647382518016 is the 1283504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1647382518016

1647382518016 is an abundant number, since it is smaller than the sum of its proper divisors (1679219714273).

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

1647382518016 is an frugal number, since it uses more digits than its factorization.

1647382518016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 1647382518016 in words is "one trillion, six hundred forty-seven billion, three hundred eighty-two million, five hundred eighteen thousand, sixteen".