1080138332448 has 384 divisors, whose sum is σ = 3719278563840. Its totient is φ = 298523750400.

The previous prime is 1080138332443. The next prime is 1080138332453. The reversal of 1080138332448 is 8442338310801.

1080138332448 is a `hidden beast` number, since 10 + 80 + 13 + 83 + 32 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (1080138332443) and next prime (1080138332453).

It is not an unprimeable number, because it can be changed into a prime (1080138332443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38699298 + ... + 38727198.

It is an arithmetic number, because the mean of its divisors is an integer number (9685621260).

Almost surely, 2^{1080138332448} is an apocalyptic number.

1080138332448 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 1080138332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859639281920).

1080138332448 is an abundant number, since it is smaller than the sum of its proper divisors (2639140231392).

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

1080138332448 is a wasteful number, since it uses less digits than its factorization.

1080138332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28137 (or 28123 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1080138332448 in words is "one trillion, eighty billion, one hundred thirty-eight million, three hundred thirty-two thousand, four hundred forty-eight".