1604711299984 has 135 divisors (see below), whose sum is σ = 3578876500953. Its totient is φ = 696582721536.

The previous prime is 1604711299981. The next prime is 1604711300009. The reversal of 1604711299984 is 4899921174061.

The square root of 1604711299984 is 1266772.

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

It can be written as a sum of positive squares in 13 ways, for example, as 397631136400 + 1207080163584 = 630580^2 + 1098672^2 .

It is not an unprimeable number, because it can be changed into a prime (1604711299981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1119825732 + ... + 1119827164.

Almost surely, 2^{1604711299984} is an apocalyptic number.

1604711299984 is the 1266772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604711299984

1604711299984 is an abundant number, since it is smaller than the sum of its proper divisors (1974165200969).

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

1604711299984 is an equidigital number, since it uses as much as digits as its factorization.

1604711299984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 1604711299984 in words is "one trillion, six hundred four billion, seven hundred eleven million, two hundred ninety-nine thousand, nine hundred eighty-four".