160346171664 has 240 divisors, whose sum is σ = 524962114560. Its totient is φ = 44743668480.

The previous prime is 160346171653. The next prime is 160346171701. The reversal of 160346171664 is 466171643061.

160346171664 is a `hidden beast` number, since 1 + 60 + 3 + 461 + 71 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7647307 + ... + 7668245.

It is an arithmetic number, because the mean of its divisors is an integer number (2187342144).

Almost surely, 2^160346171664 is an apocalyptic number.

160346171664 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 160346171664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262481057280).

160346171664 is an abundant number, since it is smaller than the sum of its proper divisors (364615942896).

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

160346171664 is a wasteful number, since it uses less digits than its factorization.

160346171664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21138 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 160346171664 in words is "one hundred sixty billion, three hundred forty-six million, one hundred seventy-one thousand, six hundred sixty-four".