1121188635648 has 880 divisors, whose sum is σ = 3648726734400. Its totient is φ = 341835448320.

The previous prime is 1121188635557. The next prime is 1121188635659. The reversal of 1121188635648 is 8465368811211.

1121188635648 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 18 + 8 + 63 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1121188635594 and 1121188635603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10286134218 + ... + 10286134326.

It is an arithmetic number, because the mean of its divisors is an integer number (4146280380).

Almost surely, 2^{1121188635648} is an apocalyptic number.

1121188635648 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 1121188635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824363367200).

1121188635648 is an abundant number, since it is smaller than the sum of its proper divisors (2527538098752).

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

1121188635648 is a wasteful number, since it uses less digits than its factorization.

1121188635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 1121188635648 in words is "one trillion, one hundred twenty-one billion, one hundred eighty-eight million, six hundred thirty-five thousand, six hundred forty-eight".