161271346680 has 320 divisors, whose sum is σ = 574432689600. Its totient is φ = 40509020160.

The previous prime is 161271346679. The next prime is 161271346681. The reversal of 161271346680 is 86643172161.

161271346680 is a `hidden beast` number, since 161 + 2 + 71 + 346 + 6 + 80 = 666.

161271346680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161271346679) and next prime (161271346681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161271346681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3831429 + ... + 3873291.

It is an arithmetic number, because the mean of its divisors is an integer number (1795102155).

Almost surely, 2^161271346680 is an apocalyptic number.

161271346680 is a gapful number since it is divisible by the number (10) 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 161271346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287216344800).

161271346680 is an abundant number, since it is smaller than the sum of its proper divisors (413161342920).

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

161271346680 is a wasteful number, since it uses less digits than its factorization.

161271346680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41956 (or 41943 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 161271346680 in words is "one hundred sixty-one billion, two hundred seventy-one million, three hundred forty-six thousand, six hundred eighty".