438900950016 has 297 divisors, whose sum is σ = 1299126161151. Its totient is φ = 142717538304.

The previous prime is 438900949973. The next prime is 438900950017. The reversal of 438900950016 is 610059009834.

It is a happy number.

The square root of 438900950016 is 662496.

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

438900950016 is a `hidden beast` number, since 43 + 8 + 90 + 0 + 9 + 500 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (438900950017) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4261174221 + ... + 4261174323.

Almost surely, 2^438900950016 is an apocalyptic number.

438900950016 is the 662496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438900950016

438900950016 is an abundant number, since it is smaller than the sum of its proper divisors (860225211135).

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

438900950016 is an equidigital number, since it uses as much as digits as its factorization.

438900950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 438900950016 in words is "four hundred thirty-eight billion, nine hundred million, nine hundred fifty thousand, sixteen".