161434163028320 has 1152 divisors, whose sum is σ = 513309284006400. Its totient is φ = 47382963683328.

The previous prime is 161434163028293. The next prime is 161434163028353. The reversal of 161434163028320 is 23820361434161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100331983676 + ... + 100331985284.

It is an arithmetic number, because the mean of its divisors is an integer number (445580975700).

Almost surely, 2^{161434163028320} is an apocalyptic number.

161434163028320 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 161434163028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256654642003200).

161434163028320 is an abundant number, since it is smaller than the sum of its proper divisors (351875120978080).

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

161434163028320 is a wasteful number, since it uses less digits than its factorization.

161434163028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 161434163028320 in words is "one hundred sixty-one trillion, four hundred thirty-four billion, one hundred sixty-three million, twenty-eight thousand, three hundred twenty".