4538630319552 has 672 divisors, whose sum is σ = 15645913620480. Its totient is φ = 1229884508160.

The previous prime is 4538630319523. The next prime is 4538630319569. The reversal of 4538630319552 is 2559130368354.

4538630319552 is a `hidden beast` number, since 4 + 5 + 3 + 86 + 3 + 0 + 3 + 1 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9243646027 + ... + 9243646517.

Almost surely, 2^{4538630319552} is an apocalyptic number.

4538630319552 is a gapful number since it is divisible by the number (42) 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 4538630319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822956810240).

4538630319552 is an abundant number, since it is smaller than the sum of its proper divisors (11107283300928).

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

4538630319552 is a wasteful number, since it uses less digits than its factorization.

4538630319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 4538630319552 in words is "four trillion, five hundred thirty-eight billion, six hundred thirty million, three hundred nineteen thousand, five hundred fifty-two".