1613803595904 has 160 divisors (see below), whose sum is σ = 4804100914140. Its totient is φ = 537772400640.

The previous prime is 1613803595851. The next prime is 1613803595909. The reversal of 1613803595904 is 4095953083161.

1613803595904 is a `hidden beast` number, since 1 + 6 + 13 + 8 + 0 + 35 + 9 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1588507329600 + 25296266304 = 1260360^2 + 159048^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1613803595909) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 37230564 + ... + 37273884.

Almost surely, 2^{1613803595904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613803595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402050457070).

1613803595904 is an abundant number, since it is smaller than the sum of its proper divisors (3190297318236).

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

1613803595904 is an equidigital number, since it uses as much as digits as its factorization.

1613803595904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46940 (or 46919 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1613803595904 in words is "one trillion, six hundred thirteen billion, eight hundred three million, five hundred ninety-five thousand, nine hundred four".