608148564144912 has 800 divisors, whose sum is σ = 2177130506158080. Its totient is φ = 160051391216640.

The previous prime is 608148564144911. The next prime is 608148564144931. The reversal of 608148564144912 is 219441465841806.

608148564144912 is a `hidden beast` number, since 6 + 0 + 8 + 1 + 4 + 8 + 564 + 14 + 49 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 608148564144912.

It is not an unprimeable number, because it can be changed into a prime (608148564144911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2317410987 + ... + 2317673397.

Almost surely, 2^{608148564144912} 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 608148564144912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088565253079040).

608148564144912 is an abundant number, since it is smaller than the sum of its proper divisors (1568981942013168).

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

608148564144912 is a wasteful number, since it uses less digits than its factorization.

608148564144912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262873 (or 262858 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 608148564144912 in words is "six hundred eight trillion, one hundred forty-eight billion, five hundred sixty-four million, one hundred forty-four thousand, nine hundred twelve".