163310419480320 has 1296 divisors, whose sum is σ = 670767414774912. Its totient is φ = 36564864860160.

The previous prime is 163310419480279. The next prime is 163310419480339. The reversal of 163310419480320 is 23084914013361.

163310419480320 is a `hidden beast` number, since 1 + 6 + 3 + 310 + 4 + 1 + 9 + 4 + 8 + 0 + 320 = 666.

It is a super-2 number, since 2×163310419480320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20134433065 + ... + 20134441175.

It is an arithmetic number, because the mean of its divisors is an integer number (517567449672).

Almost surely, 2^{163310419480320} is an apocalyptic number.

163310419480320 is a gapful number since it is divisible by the number (10) 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 163310419480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335383707387456).

163310419480320 is an abundant number, since it is smaller than the sum of its proper divisors (507456995294592).

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

163310419480320 is a wasteful number, since it uses less digits than its factorization.

163310419480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 163310419480320 in words is "one hundred sixty-three trillion, three hundred ten billion, four hundred nineteen million, four hundred eighty thousand, three hundred twenty".