161007426216 has 512 divisors, whose sum is σ = 583080960000. Its totient is φ = 40212806400.

The previous prime is 161007426179. The next prime is 161007426269. The reversal of 161007426216 is 612624700161.

161007426216 is a `hidden beast` number, since 1 + 6 + 10 + 0 + 7 + 426 + 216 = 666.

161007426216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 63114141 + ... + 63116691.

It is an arithmetic number, because the mean of its divisors is an integer number (1138830000).

Almost surely, 2^161007426216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161007426216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291540480000).

161007426216 is an abundant number, since it is smaller than the sum of its proper divisors (422073533784).

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

161007426216 is a wasteful number, since it uses less digits than its factorization.

161007426216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 161007426216 in words is "one hundred sixty-one billion, seven million, four hundred twenty-six thousand, two hundred sixteen".