613336346430000 has 400 divisors, whose sum is σ = 1999630827507456. Its totient is φ = 161929814400000.

The previous prime is 613336346429951. The next prime is 613336346430133. The reversal of 613336346430000 is 34643633316.

613336346430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14371568662 + ... + 14371611338.

Almost surely, 2^{613336346430000} is an apocalyptic number.

613336346430000 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 613336346430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999815413753728).

613336346430000 is an abundant number, since it is smaller than the sum of its proper divisors (1386294481077456).

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

613336346430000 is a wasteful number, since it uses less digits than its factorization.

613336346430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47462 (or 47441 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 42.

The spelling of 613336346430000 in words is "six hundred thirteen trillion, three hundred thirty-six billion, three hundred forty-six million, four hundred thirty thousand".