161616211346016 has 384 divisors, whose sum is σ = 550203141196800. Its totient is φ = 45198570516480.

The previous prime is 161616211345999. The next prime is 161616211346053. The reversal of 161616211346016 is 610643112616161.

161616211346016 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 1 + 6 + 2 + 1 + 1 + 34 + 601 + 6 = 666.

It is a super-2 number, since 2×161616211346016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82169926 + ... + 84113786.

It is an arithmetic number, because the mean of its divisors is an integer number (1432820680200).

Almost surely, 2^{161616211346016} is an apocalyptic number.

161616211346016 is a gapful number since it is divisible by the number (16) 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 161616211346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275101570598400).

161616211346016 is an abundant number, since it is smaller than the sum of its proper divisors (388586929850784).

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

161616211346016 is a wasteful number, since it uses less digits than its factorization.

161616211346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944179 (or 1944165 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 161616211346016 in words is "one hundred sixty-one trillion, six hundred sixteen billion, two hundred eleven million, three hundred forty-six thousand, sixteen".