1600645007556 has 189 divisors, whose sum is σ = 4886909067999. Its totient is φ = 457190507088.

The previous prime is 1600645007483. The next prime is 1600645007641. The reversal of 1600645007556 is 6557005460061.

The square root of 1600645007556 is 1265166.

It is a perfect power (a square), and thus also a powerful number.

1600645007556 is a `hidden beast` number, since 16 + 0 + 0 + 64 + 500 + 75 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 478231075 + ... + 478234421.

Almost surely, 2^{1600645007556} is an apocalyptic number.

1600645007556 is the 1265166-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600645007556

1600645007556 is an abundant number, since it is smaller than the sum of its proper divisors (3286264060443).

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

1600645007556 is an frugal number, since it uses more digits than its factorization.

1600645007556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1600645007556 in words is "one trillion, six hundred billion, six hundred forty-five million, seven thousand, five hundred fifty-six".