166908784416 has 384 divisors, whose sum is σ = 523127808000. Its totient is φ = 46033920000.

The previous prime is 166908784369. The next prime is 166908784439. The reversal of 166908784416 is 614487809661.

166908784416 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-2 number, since 2×166908784416² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166908784416.

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, 92674716 + ... + 92676516.

It is an arithmetic number, because the mean of its divisors is an integer number (1362312000).

Almost surely, 2^166908784416 is an apocalyptic number.

166908784416 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 166908784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261563904000).

166908784416 is an abundant number, since it is smaller than the sum of its proper divisors (356219023584).

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

166908784416 is a wasteful number, since it uses less digits than its factorization.

166908784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 166908784416 in words is "one hundred sixty-six billion, nine hundred eight million, seven hundred eighty-four thousand, four hundred sixteen".