166054419648 has 336 divisors, whose sum is σ = 539922329856. Its totient is φ = 48410081280.

The previous prime is 166054419613. The next prime is 166054419649. The reversal of 166054419648 is 846914450661.

166054419648 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 544 + 1 + 96 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166054419594 and 166054419603.

It is not an unprimeable number, because it can be changed into a prime (166054419649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18423463 + ... + 18432473.

It is an arithmetic number, because the mean of its divisors is an integer number (1606911696).

Almost surely, 2^166054419648 is an apocalyptic number.

166054419648 is a gapful number since it is divisible by the number (18) 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 166054419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269961164928).

166054419648 is an abundant number, since it is smaller than the sum of its proper divisors (373867910208).

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

166054419648 is a wasteful number, since it uses less digits than its factorization.

166054419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9172 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 166054419648 in words is "one hundred sixty-six billion, fifty-four million, four hundred nineteen thousand, six hundred forty-eight".