161641568088 has 1536 divisors, whose sum is σ = 661382400000. Its totient is φ = 36212520960.

The previous prime is 161641568087. The next prime is 161641568093. The reversal of 161641568088 is 880865146161.

161641568088 is a `hidden beast` number, since 1 + 616 + 4 + 15 + 6 + 8 + 0 + 8 + 8 = 666.

It is a super-3 number, since 3×161641568088³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161641568083) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2214268020 + ... + 2214268092.

It is an arithmetic number, because the mean of its divisors is an integer number (430587500).

Almost surely, 2^161641568088 is an apocalyptic number.

161641568088 is a gapful number since it is divisible by the number (18) 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 161641568088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330691200000).

161641568088 is an abundant number, since it is smaller than the sum of its proper divisors (499740831912).

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

161641568088 is a wasteful number, since it uses less digits than its factorization.

161641568088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 161641568088 in words is "one hundred sixty-one billion, six hundred forty-one million, five hundred sixty-eight thousand, eighty-eight".