161237583936 has 735 divisors, whose sum is σ = 571228503083. Its totient is φ = 45101422080.

The previous prime is 161237583883. The next prime is 161237583973. The reversal of 161237583936 is 639385732161.

The square root of 161237583936 is 401544.

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

161237583936 is a `hidden beast` number, since 1 + 6 + 1 + 23 + 7 + 583 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79944169536 + 81293414400 = 282744^2 + 285120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 12402891066 + ... + 12402891078.

Almost surely, 2^161237583936 is an apocalyptic number.

161237583936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161237583936 is the 401544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161237583936

161237583936 is an abundant number, since it is smaller than the sum of its proper divisors (409990919147).

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

161237583936 is an frugal number, since it uses more digits than its factorization.

161237583936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 29 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 161237583936 in words is "one hundred sixty-one billion, two hundred thirty-seven million, five hundred eighty-three thousand, nine hundred thirty-six".