1604517351312 has 240 divisors, whose sum is σ = 4580864375360. Its totient is φ = 482499182592.

The previous prime is 1604517351259. The next prime is 1604517351313. The reversal of 1604517351312 is 2131537154061.

It is a super-2 number, since 2×1604517351312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1604517351313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55976088 + ... + 56004744.

Almost surely, 2^{1604517351312} is an apocalyptic number.

1604517351312 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 1604517351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290432187680).

1604517351312 is an abundant number, since it is smaller than the sum of its proper divisors (2976347024048).

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

1604517351312 is a wasteful number, since it uses less digits than its factorization.

1604517351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28818 (or 28783 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 1604517351312 in words is "one trillion, six hundred four billion, five hundred seventeen million, three hundred fifty-one thousand, three hundred twelve".