167338388452356 has 405 divisors, whose sum is σ = 487592842861047. Its totient is φ = 50006181345120.

The previous prime is 167338388452321. The next prime is 167338388452369. The reversal of 167338388452356 is 653254883833761.

The square root of 167338388452356 is 12935934.

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

167338388452356 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 3 + 8 + 388 + 4 + 5 + 235 + 6 = 666.

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 134 ways as a sum of consecutive naturals, for example, 202343879215 + ... + 202343880041.

Almost surely, 2^{167338388452356} is an apocalyptic number.

167338388452356 is the 12935934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167338388452356

167338388452356 is an abundant number, since it is smaller than the sum of its proper divisors (320254454408691).

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

167338388452356 is an frugal number, since it uses more digits than its factorization.

167338388452356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 922 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 167338388452356 in words is "one hundred sixty-seven trillion, three hundred thirty-eight billion, three hundred eighty-eight million, four hundred fifty-two thousand, three hundred fifty-six".