1600581454656 has 112 divisors (see below), whose sum is σ = 4258860672000. Its totient is φ = 530507335680.

The previous prime is 1600581454639. The next prime is 1600581454723. The reversal of 1600581454656 is 6564541850061.

It is a junction number, because it is equal to n+sod(n) for n = 1600581454599 and 1600581454608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100803390 + ... + 100819266.

Almost surely, 2^{1600581454656} is an apocalyptic number.

1600581454656 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 1600581454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129430336000).

1600581454656 is an abundant number, since it is smaller than the sum of its proper divisors (2658279217344).

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

1600581454656 is a wasteful number, since it uses less digits than its factorization.

1600581454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18832 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 1600581454656 in words is "one trillion, six hundred billion, five hundred eighty-one million, four hundred fifty-four thousand, six hundred fifty-six".