161006377536 has 105 divisors (see below), whose sum is σ = 477358997401. Its totient is φ = 53659162368.

The previous prime is 161006377517. The next prime is 161006377547. The reversal of 161006377536 is 635773600161.

The square root of 161006377536 is 401256.

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

161006377536 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 0 + 637 + 7 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 154090791936 = 83160^2 + 392544^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 161006377491 and 161006377500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28887646 + ... + 28893218.

Almost surely, 2^161006377536 is an apocalyptic number.

161006377536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161006377536 is the 401256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161006377536

161006377536 is an abundant number, since it is smaller than the sum of its proper divisors (316352619865).

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

161006377536 is an frugal number, since it uses more digits than its factorization.

161006377536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11170 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

Adding to 161006377536 its reverse (635773600161), we get a palindrome (796779977697).

The spelling of 161006377536 in words is "one hundred sixty-one billion, six million, three hundred seventy-seven thousand, five hundred thirty-six".