438052636257696 has 384 divisors, whose sum is σ = 1291289934654720. Its totient is φ = 144469146931200.

The previous prime is 438052636257673. The next prime is 438052636257697. The reversal of 438052636257696 is 696752636250834.

438052636257696 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 526 + 3 + 6 + 2 + 5 + 7 + 6 + 96 = 666.

It is a super-2 number, since 2×438052636257696² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (438052636257697) 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 63 ways as a sum of consecutive naturals, for example, 26741499426 + ... + 26741515806.

It is an arithmetic number, because the mean of its divisors is an integer number (3362734204830).

Almost surely, 2^{438052636257696} 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 438052636257696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645644967327360).

438052636257696 is an abundant number, since it is smaller than the sum of its proper divisors (853237298397024).

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

438052636257696 is a wasteful number, since it uses less digits than its factorization.

438052636257696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17445 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 438052636257696 in words is "four hundred thirty-eight trillion, fifty-two billion, six hundred thirty-six million, two hundred fifty-seven thousand, six hundred ninety-six".