4638575253312 has 3780 divisors, whose sum is σ = 20466232839360. Its totient is φ = 1031194644480.

The previous prime is 4638575253281. The next prime is 4638575253329. The reversal of 4638575253312 is 2133525758364.

4638575253312 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 5 + 75 + 253 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 98693090473 + ... + 98693090519.

It is an arithmetic number, because the mean of its divisors is an integer number (5414347312).

Almost surely, 2^{4638575253312} is an apocalyptic number.

4638575253312 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 4638575253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233116419680).

4638575253312 is an abundant number, since it is smaller than the sum of its proper divisors (15827657586048).

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

4638575253312 is a wasteful number, since it uses less digits than its factorization.

4638575253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 102 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 4638575253312 in words is "four trillion, six hundred thirty-eight billion, five hundred seventy-five million, two hundred fifty-three thousand, three hundred twelve".