11291936461056 has 360 divisors, whose sum is σ = 34575153228000. Its totient is φ = 3663294750720.

The previous prime is 11291936461037. The next prime is 11291936461073. The reversal of 11291936461056 is 65016463919211.

11291936461056 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 19 + 3 + 6 + 4 + 610 + 5 + 6 = 666.

It is a super-3 number, since 3×11291936461056³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11291936460993 and 11291936461011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356207895 + ... + 356239593.

It is an arithmetic number, because the mean of its divisors is an integer number (96042092300).

Almost surely, 2^{11291936461056} is an apocalyptic number.

11291936461056 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 11291936461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287576614000).

11291936461056 is an abundant number, since it is smaller than the sum of its proper divisors (23283216766944).

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

11291936461056 is an equidigital number, since it uses as much as digits as its factorization.

11291936461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32187 (or 32164 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11291936461056 in words is "eleven trillion, two hundred ninety-one billion, nine hundred thirty-six million, four hundred sixty-one thousand, fifty-six".