161815941726516 has 1728 divisors, whose sum is σ = 560250495866880. Its totient is φ = 40359586176000.

The previous prime is 161815941726503. The next prime is 161815941726611. The reversal of 161815941726516 is 615627149518161.

161815941726516 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 1 + 5 + 9 + 41 + 72 + 6 + 516 = 666.

161815941726516 is digitally balanced in base 2 and base 4, because in such bases 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 (63).

Its product of digits (21772800) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 415979284450 + ... + 415979284838.

It is an arithmetic number, because the mean of its divisors is an integer number (324219036960).

Almost surely, 2^{161815941726516} 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 161815941726516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280125247933440).

161815941726516 is an abundant number, since it is smaller than the sum of its proper divisors (398434554140364).

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

161815941726516 is a wasteful number, since it uses less digits than its factorization.

161815941726516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 747 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 161815941726516 in words is "one hundred sixty-one trillion, eight hundred fifteen billion, nine hundred forty-one million, seven hundred twenty-six thousand, five hundred sixteen".