438693121347264 has 1344 divisors, whose sum is σ = 1573436853120000. Its totient is φ = 117385647980544.

The previous prime is 438693121347197. The next prime is 438693121347281. The reversal of 438693121347264 is 462743121396834.

438693121347264 is a `hidden beast` number, since 4 + 3 + 8 + 6 + 9 + 3 + 1 + 21 + 347 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294622646232 + ... + 294622647720.

Almost surely, 2^{438693121347264} 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 438693121347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786718426560000).

438693121347264 is an abundant number, since it is smaller than the sum of its proper divisors (1134743731772736).

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

438693121347264 is a wasteful number, since it uses less digits than its factorization.

438693121347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2248 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 438693121347264 in words is "four hundred thirty-eight trillion, six hundred ninety-three billion, one hundred twenty-one million, three hundred forty-seven thousand, two hundred sixty-four".