616763403144 has 192 divisors, whose sum is σ = 1923425187840. Its totient is φ = 174894007680.

The previous prime is 616763403143. The next prime is 616763403169. The reversal of 616763403144 is 441304367616.

616763403144 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 634 + 0 + 3 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 616763403144.

It is not an unprimeable number, because it can be changed into a prime (616763403143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39020347 + ... + 39036149.

It is an arithmetic number, because the mean of its divisors is an integer number (10017839520).

Almost surely, 2^616763403144 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 616763403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961712593920).

616763403144 is an abundant number, since it is smaller than the sum of its proper divisors (1306661784696).

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

616763403144 is a wasteful number, since it uses less digits than its factorization.

616763403144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16400 (or 16393 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 616763403144 in words is "six hundred sixteen billion, seven hundred sixty-three million, four hundred three thousand, one hundred forty-four".