1683112480164 has 72 divisors (see below), whose sum is σ = 4273799395320. Its totient is φ = 558501898752.

The previous prime is 1683112480157. The next prime is 1683112480261. The reversal of 1683112480164 is 4610842113861.

1683112480164 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 1 + 1 + 2 + 480 + 164 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210268102500 + 1472844377664 = 458550^2 + 1213608^2 .

It is a super-2 number, since 2×1683112480164² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8264392 + ... + 8465600.

It is an arithmetic number, because the mean of its divisors is an integer number (59358324935).

Almost surely, 2^{1683112480164} is an apocalyptic number.

It is an amenable number.

1683112480164 is an abundant number, since it is smaller than the sum of its proper divisors (2590686915156).

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

1683112480164 is a wasteful number, since it uses less digits than its factorization.

1683112480164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202269 (or 202264 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1683112480164 in words is "one trillion, six hundred eighty-three billion, one hundred twelve million, four hundred eighty thousand, one hundred sixty-four".