1613385159840 has 768 divisors, whose sum is σ = 5963657011200. Its totient is φ = 406926913536.

The previous prime is 1613385159839. The next prime is 1613385159857. The reversal of 1613385159840 is 489515833161.

1613385159840 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 3 + 8 + 5 + 1 + 598 + 40 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 846032167 + ... + 846034073.

It is an arithmetic number, because the mean of its divisors is an integer number (7765178400).

Almost surely, 2^{1613385159840} is an apocalyptic number.

1613385159840 is a gapful number since it is divisible by the number (10) 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 1613385159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981828505600).

1613385159840 is an abundant number, since it is smaller than the sum of its proper divisors (4350271851360).

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

1613385159840 is a wasteful number, since it uses less digits than its factorization.

1613385159840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1613385159840 in words is "one trillion, six hundred thirteen billion, three hundred eighty-five million, one hundred fifty-nine thousand, eight hundred forty".