168264040000 has 315 divisors, whose sum is σ = 487023147237. Its totient is φ = 57493632000.

The previous prime is 168264039989. The next prime is 168264040103. The reversal of 168264040000 is 40462861.

The square root of 168264040000 is 410200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 41254484544 + 127009555456 = 203112^2 + 356384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 574279854 + ... + 574280146.

Almost surely, 2^168264040000 is an apocalyptic number.

168264040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168264040000 is the 410200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168264040000

168264040000 is an abundant number, since it is smaller than the sum of its proper divisors (318759107237).

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

168264040000 is an frugal number, since it uses more digits than its factorization.

168264040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 168264040000 in words is "one hundred sixty-eight billion, two hundred sixty-four million, forty thousand".