138844446720 has 896 divisors, whose sum is σ = 541132849152. Its totient is φ = 29727129600.

The previous prime is 138844446701. The next prime is 138844446733. The reversal of 138844446720 is 27644448831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093263297 + ... + 1093263423.

It is an arithmetic number, because the mean of its divisors is an integer number (603942912).

Almost surely, 2^138844446720 is an apocalyptic number.

138844446720 is a gapful number since it is divisible by the number (10) 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 138844446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270566424576).

138844446720 is an abundant number, since it is smaller than the sum of its proper divisors (402288402432).

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

138844446720 is a wasteful number, since it uses less digits than its factorization.

138844446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 138844446720 in words is "one hundred thirty-eight billion, eight hundred forty-four million, four hundred forty-six thousand, seven hundred twenty".