616431104054600 has 384 divisors, whose sum is σ = 1576640170713600. Its totient is φ = 223370770022400.

The previous prime is 616431104054573. The next prime is 616431104054723. The reversal of 616431104054600 is 6450401134616.

It is a happy number.

It is a super-3 number, since 3×616431104054600³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44280655640 + ... + 44280669560.

It is an arithmetic number, because the mean of its divisors is an integer number (4105833777900).

Almost surely, 2^{616431104054600} 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 616431104054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788320085356800).

616431104054600 is an abundant number, since it is smaller than the sum of its proper divisors (960209066659000).

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

616431104054600 is a wasteful number, since it uses less digits than its factorization.

616431104054600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20305 (or 20296 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 616431104054600 in words is "six hundred sixteen trillion, four hundred thirty-one billion, one hundred four million, fifty-four thousand, six hundred".