1683838717002 has 32 divisors (see below), whose sum is σ = 4029699495360. Its totient is φ = 518104220400.

The previous prime is 1683838716953. The next prime is 1683838717013. The reversal of 1683838717002 is 2007178383861.

1683838717002 is a `hidden beast` number, since 1 + 68 + 38 + 387 + 170 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1683838717002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199314624 + ... + 1199316027.

It is an arithmetic number, because the mean of its divisors is an integer number (125928109230).

Almost surely, 2^{1683838717002} is an apocalyptic number.

1683838717002 is an abundant number, since it is smaller than the sum of its proper divisors (2345860778358).

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

1683838717002 is a wasteful number, since it uses less digits than its factorization.

1683838717002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398630675 (or 2398630669 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1683838717002 in words is "one trillion, six hundred eighty-three billion, eight hundred thirty-eight million, seven hundred seventeen thousand, two".