1117312503984 has 160 divisors (see below), whose sum is σ = 3226775616000. Its totient is φ = 370154992896.

The previous prime is 1117312503973. The next prime is 1117312504039. The reversal of 1117312503984 is 4893052137111.

1117312503984 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 3 + 1 + 250 + 398 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224944669 + ... + 224949635.

It is an arithmetic number, because the mean of its divisors is an integer number (20167347600).

Almost surely, 2^{1117312503984} 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 1117312503984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613387808000).

1117312503984 is an abundant number, since it is smaller than the sum of its proper divisors (2109463112016).

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

1117312503984 is a wasteful number, since it uses less digits than its factorization.

1117312503984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1117312503984 in words is "one trillion, one hundred seventeen billion, three hundred twelve million, five hundred three thousand, nine hundred eighty-four".