438481457568 has 240 divisors, whose sum is σ = 1607766076224. Its totient is φ = 113891235840.

The previous prime is 438481457551. The next prime is 438481457621. The reversal of 438481457568 is 865754184834.

438481457568 is a `hidden beast` number, since 4 + 3 + 8 + 4 + 8 + 14 + 57 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 898905 + ... + 1298072.

Almost surely, 2^438481457568 is an apocalyptic number.

438481457568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

438481457568 is an abundant number, since it is smaller than the sum of its proper divisors (1169284618656).

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

438481457568 is a wasteful number, since it uses less digits than its factorization.

438481457568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197017 (or 2197000 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 438481457568 in words is "four hundred thirty-eight billion, four hundred eighty-one million, four hundred fifty-seven thousand, five hundred sixty-eight".