551624211466416 has 320 divisors, whose sum is σ = 1730865247534080. Its totient is φ = 166814968320000.

The previous prime is 551624211466381. The next prime is 551624211466417. The reversal of 551624211466416 is 614664112426155.

551624211466416 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 2 + 4 + 211 + 4 + 6 + 6 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (551624211466417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4575797341 + ... + 4575917891.

It is an arithmetic number, because the mean of its divisors is an integer number (5408953898544).

Almost surely, 2^{551624211466416} 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 551624211466416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865432623767040).

551624211466416 is an abundant number, since it is smaller than the sum of its proper divisors (1179241036067664).

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

551624211466416 is a wasteful number, since it uses less digits than its factorization.

551624211466416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122553 (or 122541 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 551624211466416 in words is "five hundred fifty-one trillion, six hundred twenty-four billion, two hundred eleven million, four hundred sixty-six thousand, four hundred sixteen".