161284153344000 has 816 divisors, whose sum is σ = 554703817505760. Its totient is φ = 41615622144000.

The previous prime is 161284153343993. The next prime is 161284153344049. The reversal of 161284153344000 is 443351482161.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23617532586 + ... + 23617539414.

Almost surely, 2^{161284153344000} is an apocalyptic number.

161284153344000 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 161284153344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277351908752880).

161284153344000 is an abundant number, since it is smaller than the sum of its proper divisors (393419664161760).

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

161284153344000 is an frugal number, since it uses more digits than its factorization.

161284153344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6941 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 161284153344000 in words is "one hundred sixty-one trillion, two hundred eighty-four billion, one hundred fifty-three million, three hundred forty-four thousand".