161684518075416 has 384 divisors, whose sum is σ = 524020053872640. Its totient is φ = 44063717990400.

The previous prime is 161684518075351. The next prime is 161684518075417. The reversal of 161684518075416 is 614570815486161.

161684518075416 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 8 + 4 + 5 + 1 + 80 + 7 + 541 + 6 = 666.

It is a super-2 number, since 2×161684518075416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161684518075417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1746138816 + ... + 1746231408.

It is an arithmetic number, because the mean of its divisors is an integer number (1364635556960).

Almost surely, 2^{161684518075416} 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 161684518075416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262010026936320).

161684518075416 is an abundant number, since it is smaller than the sum of its proper divisors (362335535797224).

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

161684518075416 is a wasteful number, since it uses less digits than its factorization.

161684518075416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94247 (or 94240 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 161684518075416 in words is "one hundred sixty-one trillion, six hundred eighty-four billion, five hundred eighteen million, seventy-five thousand, four hundred sixteen".