1604505116016 has 240 divisors, whose sum is σ = 5094471432960. Its totient is φ = 484831733760.

The previous prime is 1604505115987. The next prime is 1604505116017. The reversal of 1604505116016 is 6106115054061.

1604505116016 is a `hidden beast` number, since 1 + 6 + 0 + 45 + 0 + 5 + 1 + 1 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604505116017) 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, 15043965 + ... + 15150243.

It is an arithmetic number, because the mean of its divisors is an integer number (21226964304).

Almost surely, 2^{1604505116016} is an apocalyptic number.

1604505116016 is a gapful number since it is divisible by the number (16) 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 1604505116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547235716480).

1604505116016 is an abundant number, since it is smaller than the sum of its proper divisors (3489966316944).

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

1604505116016 is a wasteful number, since it uses less digits than its factorization.

1604505116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106666 (or 106648 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1604505116016 in words is "one trillion, six hundred four billion, five hundred five million, one hundred sixteen thousand, sixteen".