1604349023641 has 81 divisors (see below), whose sum is σ = 2092840823133. Its totient is φ = 1225691550720.

The previous prime is 1604349023617. The next prime is 1604349023653. The reversal of 1604349023641 is 1463209434061.

The square root of 1604349023641 is 1266629.

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

It can be written as a sum of positive squares in 4 ways, for example, as 121302441225 + 1483046582416 = 348285^2 + 1217804^2 .

It is not a de Polignac number, because 1604349023641 - 2⁹ = 1604349023129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1604349023611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3573160185 + ... + 3573160633.

Almost surely, 2^{1604349023641} is an apocalyptic number.

1604349023641 is the 1266629-th square number.

1604349023641 is the 633315-th centered octagonal number.

It is an amenable number.

1604349023641 is a deficient number, since it is larger than the sum of its proper divisors (488491799492).

1604349023641 is an frugal number, since it uses more digits than its factorization.

1604349023641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 1604349023641 in words is "one trillion, six hundred four billion, three hundred forty-nine million, twenty-three thousand, six hundred forty-one".