1117718248320 has 640 divisors, whose sum is σ = 4041275340960. Its totient is φ = 294372900864.

The previous prime is 1117718248261. The next prime is 1117718248397. The reversal of 1117718248320 is 238428177111.

It is a happy number.

1117718248320 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 71 + 82 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2393400727 + ... + 2393401193.

Almost surely, 2^{1117718248320} is an apocalyptic number.

1117718248320 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 1117718248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020637670480).

1117718248320 is an abundant number, since it is smaller than the sum of its proper divisors (2923557092640).

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

1117718248320 is a wasteful number, since it uses less digits than its factorization.

1117718248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1117718248320 in words is "one trillion, one hundred seventeen billion, seven hundred eighteen million, two hundred forty-eight thousand, three hundred twenty".