1601315520064 has 224 divisors, whose sum is σ = 3647704034016. Its totient is φ = 690935562240.

The previous prime is 1601315520041. The next prime is 1601315520127. The reversal of 1601315520064 is 4600255131061.

It can be written as a sum of positive squares in 16 ways, for example, as 821909054464 + 779406465600 = 906592^2 + 882840^2 .

It is a super-2 number, since 2×1601315520064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452243962 + ... + 2452244614.

It is an arithmetic number, because the mean of its divisors is an integer number (16284393009).

Almost surely, 2^{1601315520064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601315520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823852017008).

1601315520064 is an abundant number, since it is smaller than the sum of its proper divisors (2046388513952).

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

1601315520064 is a wasteful number, since it uses less digits than its factorization.

1601315520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 1601315520064 in words is "one trillion, six hundred one billion, three hundred fifteen million, five hundred twenty thousand, sixty-four".