616621331089512 has 768 divisors, whose sum is σ = 2005545484800000. Its totient is φ = 167445251850240.

The previous prime is 616621331089459. The next prime is 616621331089523. The reversal of 616621331089512 is 215980133126616.

616621331089512 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 2 + 1 + 33 + 10 + 89 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153886030213 + ... + 153886034219.

It is an arithmetic number, because the mean of its divisors is an integer number (2611387350000).

Almost surely, 2^{616621331089512} 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 616621331089512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002772742400000).

616621331089512 is an abundant number, since it is smaller than the sum of its proper divisors (1388924153710488).

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

616621331089512 is a wasteful number, since it uses less digits than its factorization.

616621331089512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 616621331089512 in words is "six hundred sixteen trillion, six hundred twenty-one billion, three hundred thirty-one million, eighty-nine thousand, five hundred twelve".