161849691104256 has 297 divisors, whose sum is σ = 472965092598531. Its totient is φ = 53307893219328.

The previous prime is 161849691104209. The next prime is 161849691104347. The reversal of 161849691104256 is 652401196948161.

The square root of 161849691104256 is 12722016.

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

161849691104256 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 4 + 96 + 9 + 110 + 425 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57123122144256 + 104726568960000 = 7557984^2 + 10233600^2 .

It is a super-2 number, since 2×161849691104256² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161849691104193 and 161849691104202.

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 26 ways as a sum of consecutive naturals, for example, 108696903960 + ... + 108696905448.

Almost surely, 2^{161849691104256} is an apocalyptic number.

161849691104256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161849691104256 is the 12722016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161849691104256

161849691104256 is an abundant number, since it is smaller than the sum of its proper divisors (311115401494275).

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

161849691104256 is an frugal number, since it uses more digits than its factorization.

161849691104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 161849691104256 in words is "one hundred sixty-one trillion, eight hundred forty-nine billion, six hundred ninety-one million, one hundred four thousand, two hundred fifty-six".