1683971477568 has 98 divisors (see below), whose sum is σ = 5010154562094. Its totient is φ = 561323810304.

The previous prime is 1683971477527. The next prime is 1683971477633. The reversal of 1683971477568 is 8657741793861.

1683971477568 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 97 + 1 + 477 + 5 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 998864322624 + 685107154944 = 999432^2 + 827712^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1683971477496 and 1683971477505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 18000021 + ... + 18093332.

Almost surely, 2^{1683971477568} is an apocalyptic number.

1683971477568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1683971477568 is an abundant number, since it is smaller than the sum of its proper divisors (3326183084526).

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

1683971477568 is an frugal number, since it uses more digits than its factorization.

1683971477568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36093383 (or 36093358 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 1683971477568 in words is "one trillion, six hundred eighty-three billion, nine hundred seventy-one million, four hundred seventy-seven thousand, five hundred sixty-eight".