1138824344448 has 672 divisors, whose sum is σ = 4165507161000. Its totient is φ = 308229691392.

The previous prime is 1138824344387. The next prime is 1138824344453. The reversal of 1138824344448 is 8444434288311.

1138824344448 is a `hidden beast` number, since 1 + 138 + 8 + 24 + 3 + 44 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 1138824344394 and 1138824344403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 86866918 + ... + 86880026.

Almost surely, 2^{1138824344448} is an apocalyptic number.

1138824344448 is a gapful number since it is divisible by the number (18) 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 1138824344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082753580500).

1138824344448 is an abundant number, since it is smaller than the sum of its proper divisors (3026682816552).

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

1138824344448 is an equidigital number, since it uses as much as digits as its factorization.

1138824344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174 (or 13140 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 1138824344448 in words is "one trillion, one hundred thirty-eight billion, eight hundred twenty-four million, three hundred forty-four thousand, four hundred forty-eight".