438513248016 has 240 divisors, whose sum is σ = 1344732681600. Its totient is φ = 136558566144.

The previous prime is 438513248011. The next prime is 438513248053. The reversal of 438513248016 is 610842315834.

438513248016 is a `hidden beast` number, since 4 + 38 + 5 + 132 + 480 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (438513248011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18359730 + ... + 18383598.

It is an arithmetic number, because the mean of its divisors is an integer number (5603052840).

Almost surely, 2^438513248016 is an apocalyptic number.

438513248016 is a gapful number since it is divisible by the number (46) 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 438513248016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672366340800).

438513248016 is an abundant number, since it is smaller than the sum of its proper divisors (906219433584).

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

438513248016 is a wasteful number, since it uses less digits than its factorization.

438513248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23995 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 438513248016 in words is "four hundred thirty-eight billion, five hundred thirteen million, two hundred forty-eight thousand, sixteen".