438686241552 has 160 divisors (see below), whose sum is σ = 1357398815360. Its totient is φ = 134846415360.

The previous prime is 438686241551. The next prime is 438686241569. The reversal of 438686241552 is 255142686834.

438686241552 is a `hidden beast` number, since 4 + 3 + 8 + 6 + 8 + 624 + 1 + 5 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (438686241551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5695683 + ... + 5772189.

It is an arithmetic number, because the mean of its divisors is an integer number (8483742596).

Almost surely, 2^438686241552 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 438686241552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678699407680).

438686241552 is an abundant number, since it is smaller than the sum of its proper divisors (918712573808).

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

438686241552 is a wasteful number, since it uses less digits than its factorization.

438686241552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77558 (or 77546 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 438686241552 in words is "four hundred thirty-eight billion, six hundred eighty-six million, two hundred forty-one thousand, five hundred fifty-two".