1048088632320 has 1056 divisors, whose sum is σ = 3895502966784. Its totient is φ = 260112384000.

The previous prime is 1048088632307. The next prime is 1048088632337. The reversal of 1048088632320 is 232368808401.

1048088632320 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 0 + 8 + 8 + 632 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6940984245 + ... + 6940984395.

It is an arithmetic number, because the mean of its divisors is an integer number (3688923264).

Almost surely, 2^{1048088632320} is an apocalyptic number.

1048088632320 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 1048088632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947751483392).

1048088632320 is an abundant number, since it is smaller than the sum of its proper divisors (2847414334464).

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

1048088632320 is a wasteful number, since it uses less digits than its factorization.

1048088632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

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

The spelling of 1048088632320 in words is "one trillion, forty-eight billion, eighty-eight million, six hundred thirty-two thousand, three hundred twenty".