161230328064000 has 1536 divisors, whose sum is σ = 655572824524800. Its totient is φ = 38842033766400.

The previous prime is 161230328063983. The next prime is 161230328064077. The reversal of 161230328064000 is 460823032161.

161230328064000 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 3 + 0 + 3 + 2 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4223212912 + ... + 4223251088.

It is an arithmetic number, because the mean of its divisors is an integer number (426805224300).

Almost surely, 2^{161230328064000} is an apocalyptic number.

161230328064000 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 161230328064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327786412262400).

161230328064000 is an abundant number, since it is smaller than the sum of its proper divisors (494342496460800).

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

161230328064000 is a wasteful number, since it uses less digits than its factorization.

161230328064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38283 (or 38247 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 161230328064000 in words is "one hundred sixty-one trillion, two hundred thirty billion, three hundred twenty-eight million, sixty-four thousand".