616918848 has 448 divisors, whose sum is σ = 2228502528. Its totient is φ = 145981440.

The previous prime is 616918829. The next prime is 616918849. The reversal of 616918848 is 848819616.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 616918848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616918849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9207711 + ... + 9207777.

It is an arithmetic number, because the mean of its divisors is an integer number (4974336).

Almost surely, 2^616918848 is an apocalyptic number.

616918848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114251264).

616918848 is an abundant number, since it is smaller than the sum of its proper divisors (1611583680).

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

616918848 is a wasteful number, since it uses less digits than its factorization.

616918848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 616918848 is about 24837.8511147804. The cubic root of 616918848 is about 851.2870228269.

The spelling of 616918848 in words is "six hundred sixteen million, nine hundred eighteen thousand, eight hundred forty-eight".