163395350350848 has 3168 divisors, whose sum is σ = 638212101004800. Its totient is φ = 41130270720000.

The previous prime is 163395350350831. The next prime is 163395350350861. The reversal of 163395350350848 is 848053053593361.

163395350350848 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 9 + 535 + 0 + 3 + 50 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×163395350350848³ (a number of 44 digits) contains 333 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 1175506117563 + ... + 1175506117701.

Almost surely, 2^{163395350350848} is an apocalyptic number.

163395350350848 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 163395350350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319106050502400).

163395350350848 is an abundant number, since it is smaller than the sum of its proper divisors (474816750653952).

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

163395350350848 is a wasteful number, since it uses less digits than its factorization.

163395350350848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 163395350350848 in words is "one hundred sixty-three trillion, three hundred ninety-five billion, three hundred fifty million, three hundred fifty thousand, eight hundred forty-eight".