613216217088 has 384 divisors, whose sum is σ = 1922451148800. Its totient is φ = 192736051200.

The previous prime is 613216217057. The next prime is 613216217093. The reversal of 613216217088 is 880712612316.

613216217088 is a `hidden beast` number, since 6 + 13 + 2 + 1 + 621 + 7 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90294973 + ... + 90301763.

It is an arithmetic number, because the mean of its divisors is an integer number (5006383200).

Almost surely, 2^613216217088 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 613216217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961225574400).

613216217088 is an abundant number, since it is smaller than the sum of its proper divisors (1309234931712).

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

613216217088 is a wasteful number, since it uses less digits than its factorization.

613216217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 613216217088 in words is "six hundred thirteen billion, two hundred sixteen million, two hundred seventeen thousand, eighty-eight".