161354612736 has 456 divisors, whose sum is σ = 515269263600. Its totient is φ = 50281316352.

The previous prime is 161354612729. The next prime is 161354612791. The reversal of 161354612736 is 637216453161.

161354612736 is a `hidden beast` number, since 1 + 6 + 135 + 461 + 27 + 36 = 666.

It is a super-2 number, since 2×161354612736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161354612691 and 161354612700.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1082916790 + ... + 1082916938.

Almost surely, 2^161354612736 is an apocalyptic number.

161354612736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161354612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257634631800).

161354612736 is an abundant number, since it is smaller than the sum of its proper divisors (353914650864).

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

161354612736 is an frugal number, since it uses more digits than its factorization.

161354612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 171 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 161354612736 in words is "one hundred sixty-one billion, three hundred fifty-four million, six hundred twelve thousand, seven hundred thirty-six".