161341590480 has 960 divisors, whose sum is σ = 639499069440. Its totient is φ = 33440698368.

The previous prime is 161341590469. The next prime is 161341590493. The reversal of 161341590480 is 84095143161.

It is a super-2 number, since 2×161341590480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 525542487 + ... + 525542793.

It is an arithmetic number, because the mean of its divisors is an integer number (666144864).

Almost surely, 2^161341590480 is an apocalyptic number.

161341590480 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 161341590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319749534720).

161341590480 is an abundant number, since it is smaller than the sum of its proper divisors (478157478960).

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

161341590480 is a wasteful number, since it uses less digits than its factorization.

161341590480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 161341590480 in words is "one hundred sixty-one billion, three hundred forty-one million, five hundred ninety thousand, four hundred eighty".