551808312674304 has 576 divisors, whose sum is σ = 1814266889809920. Its totient is φ = 145939900170240.

The previous prime is 551808312674303. The next prime is 551808312674309. The reversal of 551808312674304 is 403476213808155.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (551808312674303) 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 47 ways as a sum of consecutive naturals, for example, 704896999 + ... + 705679385.

It is an arithmetic number, because the mean of its divisors is an integer number (3149768905920).

Almost surely, 2^{551808312674304} 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 551808312674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907133444904960).

551808312674304 is an abundant number, since it is smaller than the sum of its proper divisors (1262458577135616).

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

551808312674304 is a wasteful number, since it uses less digits than its factorization.

551808312674304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782496 (or 782453 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 551808312674304 in words is "five hundred fifty-one trillion, eight hundred eight billion, three hundred twelve million, six hundred seventy-four thousand, three hundred four".