11125236484656 has 1920 divisors, whose sum is σ = 41696131276800. Its totient is φ = 2858179903488.

The previous prime is 11125236484651. The next prime is 11125236484667. The reversal of 11125236484656 is 65648463252111.

11125236484656 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 523 + 64 + 8 + 4 + 6 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11125236484651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56473281550 + ... + 56473281746.

It is an arithmetic number, because the mean of its divisors is an integer number (21716735040).

Almost surely, 2^{11125236484656} is an apocalyptic number.

11125236484656 is a gapful number since it is divisible by the number (16) 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 11125236484656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848065638400).

11125236484656 is an abundant number, since it is smaller than the sum of its proper divisors (30570894792144).

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

11125236484656 is a wasteful number, since it uses less digits than its factorization.

11125236484656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 326 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 11125236484656 in words is "eleven trillion, one hundred twenty-five billion, two hundred thirty-six million, four hundred eighty-four thousand, six hundred fifty-six".