438368464836 has 243 divisors, whose sum is σ = 1187552017197. Its totient is φ = 141582180960.

The previous prime is 438368464817. The next prime is 438368464837. The reversal of 438368464836 is 638464863834.

The square root of 438368464836 is 662094.

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

438368464836 is a `hidden beast` number, since 4 + 3 + 83 + 68 + 464 + 8 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14254927236 + 424113537600 = 119394^2 + 651240^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not an unprimeable number, because it can be changed into a prime (438368464837) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6542812875 + ... + 6542812941.

Almost surely, 2^438368464836 is an apocalyptic number.

438368464836 is the 662094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438368464836

438368464836 is an abundant number, since it is smaller than the sum of its proper divisors (749183552361).

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

438368464836 is an frugal number, since it uses more digits than its factorization.

438368464836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 133 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 438368464836 in words is "four hundred thirty-eight billion, three hundred sixty-eight million, four hundred sixty-four thousand, eight hundred thirty-six".