161211390456 has 256 divisors, whose sum is σ = 466699968000. Its totient is φ = 46061568000.

The previous prime is 161211390433. The next prime is 161211390467. The reversal of 161211390456 is 654093112161.

161211390456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×161211390456³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 56425380 + ... + 56428236.

It is an arithmetic number, because the mean of its divisors is an integer number (1823046750).

Almost surely, 2^161211390456 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 161211390456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233349984000).

161211390456 is an abundant number, since it is smaller than the sum of its proper divisors (305488577544).

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

161211390456 is a wasteful number, since it uses less digits than its factorization.

161211390456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 161211390456 in words is "one hundred sixty-one billion, two hundred eleven million, three hundred ninety thousand, four hundred fifty-six".