168381690624 has 504 divisors, whose sum is σ = 585635940512. Its totient is φ = 47297986560.

The previous prime is 168381690619. The next prime is 168381690637. The reversal of 168381690624 is 426096183861.

168381690624 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 8 + 1 + 6 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79687392 + ... + 79689504.

Almost surely, 2^168381690624 is an apocalyptic number.

168381690624 is a gapful number since it is divisible by the number (14) 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 168381690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292817970256).

168381690624 is an abundant number, since it is smaller than the sum of its proper divisors (417254249888).

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

168381690624 is an frugal number, since it uses more digits than its factorization.

168381690624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 168381690624 in words is "one hundred sixty-eight billion, three hundred eighty-one million, six hundred ninety thousand, six hundred twenty-four".