11130417267984 has 405 divisors, whose sum is σ = 37652729526711. Its totient is φ = 3177957343680.

The previous prime is 11130417267973. The next prime is 11130417268079. The reversal of 11130417267984 is 48976271403111.

The square root of 11130417267984 is 3336228.

It is a perfect power (a square), and thus also a powerful number.

11130417267984 is a `hidden beast` number, since 1 + 1 + 130 + 417 + 2 + 6 + 7 + 98 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11130417267984.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7566564369 + ... + 7566565839.

Almost surely, 2^{11130417267984} is an apocalyptic number.

11130417267984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11130417267984 is the 3336228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130417267984

11130417267984 is an abundant number, since it is smaller than the sum of its proper divisors (26522312258727).

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

11130417267984 is an frugal number, since it uses more digits than its factorization.

11130417267984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

It can be divided in two parts, 1113041 and 7267984, that added together give a square (8381025 = 2895²).

The spelling of 11130417267984 in words is "eleven trillion, one hundred thirty billion, four hundred seventeen million, two hundred sixty-seven thousand, nine hundred eighty-four".