438461233056 has 1536 divisors, whose sum is σ = 1770389913600. Its totient is φ = 102187008000.

The previous prime is 438461233043. The next prime is 438461233061. The reversal of 438461233056 is 650332164834.

438461233056 is a `hidden beast` number, since 438 + 46 + 123 + 3 + 0 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1819341096 + ... + 1819341336.

It is an arithmetic number, because the mean of its divisors is an integer number (1152597600).

Almost surely, 2^438461233056 is an apocalyptic number.

438461233056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438461233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885194956800).

438461233056 is an abundant number, since it is smaller than the sum of its proper divisors (1331928680544).

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

438461233056 is a wasteful number, since it uses less digits than its factorization.

438461233056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 438461233056 in words is "four hundred thirty-eight billion, four hundred sixty-one million, two hundred thirty-three thousand, fifty-six".