608661881257248 has 1152 divisors, whose sum is σ = 2208878526726144. Its totient is φ = 154719955353600.

The previous prime is 608661881257169. The next prime is 608661881257259. The reversal of 608661881257248 is 842752188166806.

It is a happy number.

608661881257248 is a `hidden beast` number, since 6 + 0 + 8 + 6 + 6 + 1 + 8 + 8 + 1 + 2 + 572 + 48 = 666.

It is a super-2 number, since 2×608661881257248² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74308612833 + ... + 74308621023.

It is an arithmetic number, because the mean of its divisors is an integer number (1917429276672).

Almost surely, 2^{608661881257248} 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 608661881257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104439263363072).

608661881257248 is an abundant number, since it is smaller than the sum of its proper divisors (1600216645468896).

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

608661881257248 is a wasteful number, since it uses less digits than its factorization.

608661881257248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 608661881257248 in words is "six hundred eight trillion, six hundred sixty-one billion, eight hundred eighty-one million, two hundred fifty-seven thousand, two hundred forty-eight".