613166112000 has 1440 divisors, whose sum is σ = 2540892017664. Its totient is φ = 145815552000.

The previous prime is 613166111981. The next prime is 613166112001. The reversal of 613166112000 is 211661316.

613166112000 is a `hidden beast` number, since 6 + 13 + 16 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613166112001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1044575707 + ... + 1044576293.

Almost surely, 2^613166112000 is an apocalyptic number.

613166112000 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 613166112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270446008832).

613166112000 is an abundant number, since it is smaller than the sum of its proper divisors (1927725905664).

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

613166112000 is a wasteful number, since it uses less digits than its factorization.

613166112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 613166112000 its reverse (211661316), we get a palindrome (613377773316).

The spelling of 613166112000 in words is "six hundred thirteen billion, one hundred sixty-six million, one hundred twelve thousand".