613887386112 has 1920 divisors, whose sum is σ = 2547895257600. Its totient is φ = 141893959680.

The previous prime is 613887386111. The next prime is 613887386131. The reversal of 613887386112 is 211683788316.

It is a happy number.

613887386112 is a `hidden beast` number, since 6 + 1 + 388 + 73 + 86 + 112 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613887386111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5631994314 + ... + 5631994422.

It is an arithmetic number, because the mean of its divisors is an integer number (1327028780).

Almost surely, 2^613887386112 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 613887386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273947628800).

613887386112 is an abundant number, since it is smaller than the sum of its proper divisors (1934007871488).

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

613887386112 is a wasteful number, since it uses less digits than its factorization.

613887386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 182 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

It can be divided in two parts, 613887 and 386112, that added together give a palindrome (999999).

The spelling of 613887386112 in words is "six hundred thirteen billion, eight hundred eighty-seven million, three hundred eighty-six thousand, one hundred twelve".