160816670352 has 400 divisors, whose sum is σ = 519828103872. Its totient is φ = 47674967040.

The previous prime is 160816670321. The next prime is 160816670359. The reversal of 160816670352 is 253076618061.

160816670352 is a `hidden beast` number, since 1 + 608 + 1 + 6 + 6 + 7 + 0 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 160816670298 and 160816670307.

It is not an unprimeable number, because it can be changed into a prime (160816670359) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66700027 + ... + 66702437.

Almost surely, 2^160816670352 is an apocalyptic number.

160816670352 is a gapful number since it is divisible by the number (12) 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 160816670352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259914051936).

160816670352 is an abundant number, since it is smaller than the sum of its proper divisors (359011433520).

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

160816670352 is a wasteful number, since it uses less digits than its factorization.

160816670352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 160816670352 in words is "one hundred sixty billion, eight hundred sixteen million, six hundred seventy thousand, three hundred fifty-two".