438811686144 has 432 divisors, whose sum is σ = 1418752206144. Its totient is φ = 134468812800.

The previous prime is 438811686133. The next prime is 438811686151. The reversal of 438811686144 is 441686118834.

438811686144 is a `hidden beast` number, since 4 + 3 + 8 + 8 + 1 + 16 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227244859 + ... + 227246789.

Almost surely, 2^438811686144 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 438811686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709376103072).

438811686144 is an abundant number, since it is smaller than the sum of its proper divisors (979940520000).

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

438811686144 is a wasteful number, since it uses less digits than its factorization.

438811686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2230 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 438811686144 in words is "four hundred thirty-eight billion, eight hundred eleven million, six hundred eighty-six thousand, one hundred forty-four".