168673038336 has 416 divisors, whose sum is σ = 554319699840. Its totient is φ = 50253004800.

The previous prime is 168673038311. The next prime is 168673038367. The reversal of 168673038336 is 633830376861.

168673038336 is a `hidden beast` number, since 168 + 6 + 73 + 0 + 383 + 36 = 666.

It is a super-2 number, since 2×168673038336² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74206096 + ... + 74208368.

Almost surely, 2^168673038336 is an apocalyptic number.

168673038336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168673038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277159849920).

168673038336 is an abundant number, since it is smaller than the sum of its proper divisors (385646661504).

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

168673038336 is a wasteful number, since it uses less digits than its factorization.

168673038336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 168673038336 in words is "one hundred sixty-eight billion, six hundred seventy-three million, thirty-eight thousand, three hundred thirty-six".