1604512646464 has 112 divisors (see below), whose sum is σ = 3926242526976. Its totient is φ = 633532723200.

The previous prime is 1604512646311. The next prime is 1604512646491. The reversal of 1604512646464 is 4646462154061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2769909 + ... + 3298699.

It is an arithmetic number, because the mean of its divisors is an integer number (35055736848).

Almost surely, 2^{1604512646464} is an apocalyptic number.

1604512646464 is a gapful number since it is divisible by the number (14) 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 1604512646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963121263488).

1604512646464 is an abundant number, since it is smaller than the sum of its proper divisors (2321729880512).

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

1604512646464 is a wasteful number, since it uses less digits than its factorization.

1604512646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529344 (or 529334 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 1604512646464 in words is "one trillion, six hundred four billion, five hundred twelve million, six hundred forty-six thousand, four hundred sixty-four".