160412825664 has 1008 divisors, whose sum is σ = 600178308912. Its totient is φ = 40577531904.

The previous prime is 160412825659. The next prime is 160412825689. The reversal of 160412825664 is 466528214061.

It is a happy number.

160412825664 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 1 + 2 + 82 + 566 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21313664064 + 139099161600 = 145992^2 + 372960^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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, 1419582472 + ... + 1419582584.

It is an arithmetic number, because the mean of its divisors is an integer number (595414989).

Almost surely, 2^160412825664 is an apocalyptic number.

160412825664 is a gapful number since it is divisible by the number (14) 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 160412825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300089154456).

160412825664 is an abundant number, since it is smaller than the sum of its proper divisors (439765483248).

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

160412825664 is a wasteful number, since it uses less digits than its factorization.

160412825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 160412825664 in words is "one hundred sixty billion, four hundred twelve million, eight hundred twenty-five thousand, six hundred sixty-four".