167993416900 has 81 divisors (see below), whose sum is σ = 387411669127. Its totient is φ = 63218348800.

The previous prime is 167993416879. The next prime is 167993416909. The reversal of 167993416900 is 9614399761.

It is a happy number.

The square root of 167993416900 is 409870.

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

167993416900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3929534596 + 164063882304 = 62686^2 + 405048^2 .

It is a super-2 number, since 2×167993416900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167993416909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69676695 + ... + 69679105.

Almost surely, 2^167993416900 is an apocalyptic number.

167993416900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

167993416900 is the 409870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167993416900

167993416900 is an abundant number, since it is smaller than the sum of its proper divisors (219418252227).

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

167993416900 is an equidigital number, since it uses as much as digits as its factorization.

167993416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The spelling of 167993416900 in words is "one hundred sixty-seven billion, nine hundred ninety-three million, four hundred sixteen thousand, nine hundred".