161333750661120 has 864 divisors, whose sum is σ = 594173030199840. Its totient is φ = 41971309608960.

The previous prime is 161333750660947. The next prime is 161333750661131. The reversal of 161333750661120 is 21166057333161.

161333750661120 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 3 + 3 + 7 + 5 + 0 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 6529339326 + ... + 6529364034.

It is an arithmetic number, because the mean of its divisors is an integer number (687700266435).

Almost surely, 2^{161333750661120} is an apocalyptic number.

161333750661120 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 161333750661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297086515099920).

161333750661120 is an abundant number, since it is smaller than the sum of its proper divisors (432839279538720).

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

161333750661120 is an frugal number, since it uses more digits than its factorization.

161333750661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24804 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 161333750661120 in words is "one hundred sixty-one trillion, three hundred thirty-three billion, seven hundred fifty million, six hundred sixty-one thousand, one hundred twenty".