1088621312448 has 224 divisors, whose sum is σ = 3022627765248. Its totient is φ = 345423052800.

The previous prime is 1088621312377. The next prime is 1088621312459. The reversal of 1088621312448 is 8442131268801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1088621312397 and 1088621312406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124680243 + ... + 124688973.

It is an arithmetic number, because the mean of its divisors is an integer number (13493873952).

Almost surely, 2^{1088621312448} 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 1088621312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511313882624).

1088621312448 is an abundant number, since it is smaller than the sum of its proper divisors (1934006452800).

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

1088621312448 is a wasteful number, since it uses less digits than its factorization.

1088621312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 1088621312448 in words is "one trillion, eighty-eight billion, six hundred twenty-one million, three hundred twelve thousand, four hundred forty-eight".