163854106416 has 1280 divisors, whose sum is σ = 691155763200. Its totient is φ = 35732275200.

The previous prime is 163854106397. The next prime is 163854106421. The reversal of 163854106416 is 614601458361.

163854106416 is a `hidden beast` number, since 1 + 6 + 38 + 541 + 0 + 64 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 227891305 + ... + 227892023.

It is an arithmetic number, because the mean of its divisors is an integer number (539965440).

Almost surely, 2^163854106416 is an apocalyptic number.

163854106416 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 163854106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345577881600).

163854106416 is an abundant number, since it is smaller than the sum of its proper divisors (527301656784).

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

163854106416 is a wasteful number, since it uses less digits than its factorization.

163854106416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 163854106416 in words is "one hundred sixty-three billion, eight hundred fifty-four million, one hundred six thousand, four hundred sixteen".