161368834800 has 240 divisors, whose sum is σ = 560056654080. Its totient is φ = 39558328320.

The previous prime is 161368834793. The next prime is 161368834801. The reversal of 161368834800 is 8438863161.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 161368834800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161368834801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785221 + ... + 969179.

It is an arithmetic number, because the mean of its divisors is an integer number (2333569392).

Almost surely, 2^161368834800 is an apocalyptic number.

161368834800 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 161368834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280028327040).

161368834800 is an abundant number, since it is smaller than the sum of its proper divisors (398687819280).

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

161368834800 is a wasteful number, since it uses less digits than its factorization.

161368834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184040 (or 184029 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 161368834800 in words is "one hundred sixty-one billion, three hundred sixty-eight million, eight hundred thirty-four thousand, eight hundred".