1117345259520 has 2016 divisors, whose sum is σ = 4894768569600. Its totient is φ = 243465191424.

The previous prime is 1117345259509. The next prime is 1117345259521. The reversal of 1117345259520 is 259525437111.

1117345259520 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 3 + 4 + 52 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×1117345259520³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117345259521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14143610841 + ... + 14143610919.

It is an arithmetic number, because the mean of its divisors is an integer number (2427960600).

Almost surely, 2^{1117345259520} is an apocalyptic number.

1117345259520 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 1117345259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447384284800).

1117345259520 is an abundant number, since it is smaller than the sum of its proper divisors (3777423310080).

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

1117345259520 is an frugal number, since it uses more digits than its factorization.

1117345259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 1117345259520 in words is "one trillion, one hundred seventeen billion, three hundred forty-five million, two hundred fifty-nine thousand, five hundred twenty".