616908481544448 has 864 divisors, whose sum is σ = 1938529484881920. Its totient is φ = 193314107105280.

The previous prime is 616908481544447. The next prime is 616908481544507. The reversal of 616908481544448 is 844445184809616.

616908481544448 is a `hidden beast` number, since 6 + 1 + 6 + 90 + 8 + 48 + 1 + 54 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (616908481544447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242590829065 + ... + 242590831607.

It is an arithmetic number, because the mean of its divisors is an integer number (2243668385280).

Almost surely, 2^{616908481544448} 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 616908481544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969264742440960).

616908481544448 is an abundant number, since it is smaller than the sum of its proper divisors (1321621003337472).

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

616908481544448 is a wasteful number, since it uses less digits than its factorization.

616908481544448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 616908481544448 in words is "six hundred sixteen trillion, nine hundred eight billion, four hundred eighty-one million, five hundred forty-four thousand, four hundred forty-eight".