438364244136 has 384 divisors, whose sum is σ = 1459536382080. Its totient is φ = 108371902464.

The previous prime is 438364244113. The next prime is 438364244147. The reversal of 438364244136 is 631442463834.

It is a super-2 number, since 2×438364244136² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66789991 + ... + 66796553.

It is an arithmetic number, because the mean of its divisors is an integer number (3800875995).

Almost surely, 2^438364244136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438364244136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729768191040).

438364244136 is an abundant number, since it is smaller than the sum of its proper divisors (1021172137944).

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

438364244136 is a wasteful number, since it uses less digits than its factorization.

438364244136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6862 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 48.

The spelling of 438364244136 in words is "four hundred thirty-eight billion, three hundred sixty-four million, two hundred forty-four thousand, one hundred thirty-six".