613223136000 has 1008 divisors, whose sum is σ = 2322526297728. Its totient is φ = 161243136000.

The previous prime is 613223135999. The next prime is 613223136023. The reversal of 613223136000 is 631322316.

It is a happy number.

613223136000 is a `hidden beast` number, since 6 + 1 + 3 + 22 + 31 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×613223136000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2262815865 + ... + 2262816135.

Almost surely, 2^613223136000 is an apocalyptic number.

613223136000 is a gapful number since it is divisible by the number (60) 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 613223136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161263148864).

613223136000 is an abundant number, since it is smaller than the sum of its proper divisors (1709303161728).

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

613223136000 is an frugal number, since it uses more digits than its factorization.

613223136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 613223136000 its reverse (631322316), we get a palindrome (613854458316).

The spelling of 613223136000 in words is "six hundred thirteen billion, two hundred twenty-three million, one hundred thirty-six thousand".