163207663331328 has 1152 divisors, whose sum is σ = 608608209081600. Its totient is φ = 40908777062400.

The previous prime is 163207663331309. The next prime is 163207663331347. The reversal of 163207663331328 is 823133366702361.

163207663331328 is a `hidden beast` number, since 1 + 63 + 207 + 6 + 63 + 3 + 313 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (163207663331309) and next prime (163207663331347).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4588462728 + ... + 4588498296.

It is an arithmetic number, because the mean of its divisors is an integer number (528305737050).

Almost surely, 2^{163207663331328} is an apocalyptic number.

163207663331328 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 163207663331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304304104540800).

163207663331328 is an abundant number, since it is smaller than the sum of its proper divisors (445400545750272).

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

163207663331328 is a wasteful number, since it uses less digits than its factorization.

163207663331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35729 (or 35706 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 163207663331328 in words is "one hundred sixty-three trillion, two hundred seven billion, six hundred sixty-three million, three hundred thirty-one thousand, three hundred twenty-eight".