168288869664400 has 45 divisors (see below), whose sum is σ = 404314632704073. Its totient is φ = 67315444084800.

The previous prime is 168288869664389. The next prime is 168288869664403. The reversal of 168288869664400 is 4466968882861.

The square root of 168288869664400 is 12972620.

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., 60583993079184 + 107704876585216 = 7783572^2 + 10378096^2 .

It is a super-2 number, since 2×168288869664400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168288869664403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259128085 + ... + 259776715.

Almost surely, 2^{168288869664400} is an apocalyptic number.

168288869664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168288869664400 is the 12972620-th square number.

It is an amenable number.

168288869664400 is an abundant number, since it is smaller than the sum of its proper divisors (236025763039673).

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

168288869664400 is an frugal number, since it uses more digits than its factorization.

168288869664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297280 (or 648638 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 76.

The spelling of 168288869664400 in words is "one hundred sixty-eight trillion, two hundred eighty-eight billion, eight hundred sixty-nine million, six hundred sixty-four thousand, four hundred".