161313886320 has 160 divisors (see below), whose sum is σ = 502466768640. Its totient is φ = 42811668480.

The previous prime is 161313886297. The next prime is 161313886367. The reversal of 161313886320 is 23688313161.

It is a Cunningham number, because it is equal to 401639²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48194887 + ... + 48198233.

It is an arithmetic number, because the mean of its divisors is an integer number (3140417304).

Almost surely, 2^161313886320 is an apocalyptic number.

161313886320 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 161313886320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233384320).

161313886320 is an abundant number, since it is smaller than the sum of its proper divisors (341152882320).

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

161313886320 is a wasteful number, since it uses less digits than its factorization.

161313886320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 161313886320 in words is "one hundred sixty-one billion, three hundred thirteen million, eight hundred eighty-six thousand, three hundred twenty".