160463007446976 has 672 divisors, whose sum is σ = 532248966325440. Its totient is φ = 47592372731904.

The previous prime is 160463007446921. The next prime is 160463007446981. The reversal of 160463007446976 is 679644700364061.

160463007446976 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 6 + 30 + 0 + 74 + 469 + 76 = 666.

160463007446976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3617512990 + ... + 3617557346.

It is an arithmetic number, because the mean of its divisors is an integer number (792037152270).

Almost surely, 2^{160463007446976} is an apocalyptic number.

160463007446976 is a gapful number since it is divisible by the number (16) 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 160463007446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266124483162720).

160463007446976 is an abundant number, since it is smaller than the sum of its proper divisors (371785958878464).

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

160463007446976 is a wasteful number, since it uses less digits than its factorization.

160463007446976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45043 (or 45021 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 160463007446976 in words is "one hundred sixty trillion, four hundred sixty-three billion, seven million, four hundred forty-six thousand, nine hundred seventy-six".