163339746048 has 288 divisors, whose sum is σ = 493248268800. Its totient is φ = 53302063104.

The previous prime is 163339746023. The next prime is 163339746187. The reversal of 163339746048 is 840647933361.

It is a happy number.

163339746048 is a `hidden beast` number, since 1 + 63 + 33 + 97 + 460 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 163339745985 and 163339746003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119487061 + ... + 119488427.

It is an arithmetic number, because the mean of its divisors is an integer number (1712667600).

Almost surely, 2^163339746048 is an apocalyptic number.

163339746048 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 163339746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246624134400).

163339746048 is an abundant number, since it is smaller than the sum of its proper divisors (329908522752).

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

163339746048 is a wasteful number, since it uses less digits than its factorization.

163339746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 163339746048 in words is "one hundred sixty-three billion, three hundred thirty-nine million, seven hundred forty-six thousand, forty-eight".