1600245524322 has 96 divisors (see below), whose sum is σ = 3763076531760. Its totient is φ = 489482403840.

The previous prime is 1600245524309. The next prime is 1600245524327. The reversal of 1600245524322 is 2234255420061.

1600245524322 is a `hidden beast` number, since 1 + 60 + 0 + 2 + 4 + 552 + 43 + 2 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 809638240401 + 790607283921 = 899799^2 + 889161^2 .

It is a super-2 number, since 2×1600245524322² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1600245524327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20146878 + ... + 20226150.

Almost surely, 2^{1600245524322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600245524322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881538265880).

1600245524322 is an abundant number, since it is smaller than the sum of its proper divisors (2162831007438).

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

1600245524322 is a wasteful number, since it uses less digits than its factorization.

1600245524322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80948 (or 80945 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1600245524322 in words is "one trillion, six hundred billion, two hundred forty-five million, five hundred twenty-four thousand, three hundred twenty-two".