161613430917120 has 3072 divisors, whose sum is σ = 742357492531200. Its totient is φ = 32414886789120.

The previous prime is 161613430917101. The next prime is 161613430917151. The reversal of 161613430917120 is 21719034316161.

161613430917120 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 1 + 3 + 430 + 91 + 7 + 120 = 666.

161613430917120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×161613430917120² (a number of 29 digits) contains 22 as substring.

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

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 255 ways as a sum of consecutive naturals, for example, 104739747069 + ... + 104739748611.

It is an arithmetic number, because the mean of its divisors is an integer number (241652829600).

Almost surely, 2^{161613430917120} is an apocalyptic number.

161613430917120 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 161613430917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371178746265600).

161613430917120 is an abundant number, since it is smaller than the sum of its proper divisors (580744061614080).

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

161613430917120 is a wasteful number, since it uses less digits than its factorization.

161613430917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 161613430917120 in words is "one hundred sixty-one trillion, six hundred thirteen billion, four hundred thirty million, nine hundred seventeen thousand, one hundred twenty".