1604349301632 has 1024 divisors, whose sum is σ = 5822558208000. Its totient is φ = 378861649920.

The previous prime is 1604349301591. The next prime is 1604349301657. The reversal of 1604349301632 is 2361039434061.

It is a super-2 number, since 2×1604349301632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1642117528 + ... + 1642118504.

It is an arithmetic number, because the mean of its divisors is an integer number (5686092000).

Almost surely, 2^{1604349301632} is an apocalyptic number.

1604349301632 is a gapful number since it is divisible by the number (12) 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 1604349301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911279104000).

1604349301632 is an abundant number, since it is smaller than the sum of its proper divisors (4218208906368).

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

1604349301632 is a wasteful number, since it uses less digits than its factorization.

1604349301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 1604349301632 in words is "one trillion, six hundred four billion, three hundred forty-nine million, three hundred one thousand, six hundred thirty-two".