1601595687168 has 288 divisors, whose sum is σ = 4793337960320. Its totient is φ = 527444213760.

The previous prime is 1601595687161. The next prime is 1601595687311. The reversal of 1601595687168 is 8617865951061.

1601595687168 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 5 + 9 + 568 + 7 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1601595687161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463288896 + ... + 463292352.

Almost surely, 2^{1601595687168} is an apocalyptic number.

1601595687168 is a gapful number since it is divisible by the number (18) 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 1601595687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396668980160).

1601595687168 is an abundant number, since it is smaller than the sum of its proper divisors (3191742273152).

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

1601595687168 is an equidigital number, since it uses as much as digits as its factorization.

1601595687168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 1601595687168 in words is "one trillion, six hundred one billion, five hundred ninety-five million, six hundred eighty-seven thousand, one hundred sixty-eight".