1117120088448 has 576 divisors, whose sum is σ = 4034443205520. Its totient is φ = 294089564160.

The previous prime is 1117120088423. The next prime is 1117120088509. The reversal of 1117120088448 is 8448800217111.

1117120088448 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 120 + 0 + 88 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 555503763 + ... + 555505773.

Almost surely, 2^{1117120088448} is an apocalyptic number.

1117120088448 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 1117120088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017221602760).

1117120088448 is an abundant number, since it is smaller than the sum of its proper divisors (2917323117072).

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

1117120088448 is a wasteful number, since it uses less digits than its factorization.

1117120088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 1117120088448 in words is "one trillion, one hundred seventeen billion, one hundred twenty million, eighty-eight thousand, four hundred forty-eight".