163434374117520 has 320 divisors, whose sum is σ = 583314208358400. Its totient is φ = 37437159813120.

The previous prime is 163434374117519. The next prime is 163434374117527. The reversal of 163434374117520 is 25711473434361.

It is not an unprimeable number, because it can be changed into a prime (163434374117527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14957676 + ... + 23464884.

It is an arithmetic number, because the mean of its divisors is an integer number (1822856901120).

Almost surely, 2^{163434374117520} is an apocalyptic number.

163434374117520 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 163434374117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291657104179200).

163434374117520 is an abundant number, since it is smaller than the sum of its proper divisors (419879834240880).

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

163434374117520 is a wasteful number, since it uses less digits than its factorization.

163434374117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507638 (or 8507632 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 163434374117520 in words is "one hundred sixty-three trillion, four hundred thirty-four billion, three hundred seventy-four million, one hundred seventeen thousand, five hundred twenty".