438446945088 has 336 divisors, whose sum is σ = 1362507060096. Its totient is φ = 139530885120.

The previous prime is 438446945051. The next prime is 438446945137. The reversal of 438446945088 is 880549644834.

438446945088 is a `hidden beast` number, since 4 + 3 + 8 + 44 + 69 + 450 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293667670 + ... + 293669162.

It is an arithmetic number, because the mean of its divisors is an integer number (4055080536).

Almost surely, 2^438446945088 is an apocalyptic number.

438446945088 is a gapful number since it is divisible by the number (48) 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 438446945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681253530048).

438446945088 is an abundant number, since it is smaller than the sum of its proper divisors (924060115008).

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

438446945088 is a wasteful number, since it uses less digits than its factorization.

438446945088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 438446945088 in words is "four hundred thirty-eight billion, four hundred forty-six million, nine hundred forty-five thousand, eighty-eight".