616046161640616 has 256 divisors, whose sum is σ = 2003510267136000. Its totient is φ = 171710917424640.

The previous prime is 616046161640599. The next prime is 616046161640617.

616046161640616 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 4 + 6 + 1 + 6 + 16 + 4 + 0 + 616 = 666.

616046161640616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (616046161640617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1191165715 + ... + 1191682781.

It is an arithmetic number, because the mean of its divisors is an integer number (7826211981000).

Almost surely, 2^{616046161640616} 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 616046161640616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001755133568000).

616046161640616 is an abundant number, since it is smaller than the sum of its proper divisors (1387464105495384).

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

616046161640616 is a wasteful number, since it uses less digits than its factorization.

616046161640616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536349 (or 536339 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 616046161640616 in words is "six hundred sixteen trillion, forty-six billion, one hundred sixty-one million, six hundred forty thousand, six hundred sixteen".