168953881600 has 297 divisors, whose sum is σ = 488507786793. Its totient is φ = 57769205760.

The previous prime is 168953881571. The next prime is 168953881661. The reversal of 168953881600 is 6188359861.

The square root of 168953881600 is 411040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60823397376 + 108130484224 = 246624^2 + 328832^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 460364617 + ... + 460364983.

Almost surely, 2^168953881600 is an apocalyptic number.

168953881600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168953881600 is the 411040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168953881600

168953881600 is an abundant number, since it is smaller than the sum of its proper divisors (319553905193).

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

168953881600 is an frugal number, since it uses more digits than its factorization.

168953881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 168953881600 in words is "one hundred sixty-eight billion, nine hundred fifty-three million, eight hundred eighty-one thousand, six hundred".