161847391104 has 384 divisors, whose sum is σ = 562872360960. Its totient is φ = 43656192000.

The previous prime is 161847391067. The next prime is 161847391151. The reversal of 161847391104 is 401193748161.

161847391104 is a `hidden beast` number, since 1 + 61 + 8 + 473 + 9 + 110 + 4 = 666.

161847391104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×161847391104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161847391104.

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 47 ways as a sum of consecutive naturals, for example, 10241449 + ... + 10257239.

It is an arithmetic number, because the mean of its divisors is an integer number (1465813440).

Almost surely, 2^161847391104 is an apocalyptic number.

161847391104 is a gapful number since it is divisible by the number (14) 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 161847391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281436180480).

161847391104 is an abundant number, since it is smaller than the sum of its proper divisors (401024969856).

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

161847391104 is a wasteful number, since it uses less digits than its factorization.

161847391104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 161847391104 in words is "one hundred sixty-one billion, eight hundred forty-seven million, three hundred ninety-one thousand, one hundred four".