161563769856 has 352 divisors, whose sum is σ = 508934638080. Its totient is φ = 50455314432.

The previous prime is 161563769831. The next prime is 161563769867. The reversal of 161563769856 is 658967365161.

161563769856 is a `hidden beast` number, since 1 + 6 + 1 + 563 + 7 + 69 + 8 + 5 + 6 = 666.

161563769856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161563769856² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161563769793 and 161563769802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123613555 + ... + 123614861.

It is an arithmetic number, because the mean of its divisors is an integer number (1445837040).

Almost surely, 2^161563769856 is an apocalyptic number.

161563769856 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 161563769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254467319040).

161563769856 is an abundant number, since it is smaller than the sum of its proper divisors (347370868224).

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

161563769856 is a wasteful number, since it uses less digits than its factorization.

161563769856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1592 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 161563769856 in words is "one hundred sixty-one billion, five hundred sixty-three million, seven hundred sixty-nine thousand, eight hundred fifty-six".