167419428952356 has 405 divisors, whose sum is σ = 514630482855489. Its totient is φ = 47322201350592.

The previous prime is 167419428952327. The next prime is 167419428952379. The reversal of 167419428952356 is 653259824914761.

The square root of 167419428952356 is 12939066.

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

167419428952356 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 1 + 9 + 42 + 8 + 9 + 523 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144111621622500 + 23307807329856 = 12004650^2 + 4827816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 167923198050 + ... + 167923199046.

Almost surely, 2^{167419428952356} is an apocalyptic number.

167419428952356 is the 12939066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167419428952356

167419428952356 is an abundant number, since it is smaller than the sum of its proper divisors (347211053903133).

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

167419428952356 is an frugal number, since it uses more digits than its factorization.

167419428952356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1112 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 167419428952356 in words is "one hundred sixty-seven trillion, four hundred nineteen billion, four hundred twenty-eight million, nine hundred fifty-two thousand, three hundred fifty-six".