438964551936 has 405 divisors, whose sum is σ = 1352701581231. Its totient is φ = 141583002624.

The previous prime is 438964551919. The next prime is 438964551973. The reversal of 438964551936 is 639155469834.

The square root of 438964551936 is 662544.

It is a perfect power (a square), and thus also a powerful number.

438964551936 is a `hidden beast` number, since 4 + 3 + 8 + 96 + 455 + 1 + 93 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4102472395 + ... + 4102472501.

Almost surely, 2^438964551936 is an apocalyptic number.

438964551936 is the 662544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438964551936

438964551936 is an abundant number, since it is smaller than the sum of its proper divisors (913737029295).

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

438964551936 is an frugal number, since it uses more digits than its factorization.

438964551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 155 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 438964551936 in words is "four hundred thirty-eight billion, nine hundred sixty-four million, five hundred fifty-one thousand, nine hundred thirty-six".