11461846188260 has 192 divisors, whose sum is σ = 28862073515520. Its totient is φ = 3782470348800.

The previous prime is 11461846188259. The next prime is 11461846188293. The reversal of 11461846188260 is 6288164816411.

It is a junction number, because it is equal to n+sod(n) for n = 11461846188196 and 11461846188205.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7603310 + ... + 8985210.

It is an arithmetic number, because the mean of its divisors is an integer number (150323299560).

Almost surely, 2^{11461846188260} is an apocalyptic number.

11461846188260 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 11461846188260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431036757760).

11461846188260 is an abundant number, since it is smaller than the sum of its proper divisors (17400227327260).

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

11461846188260 is a wasteful number, since it uses less digits than its factorization.

11461846188260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382038 (or 1382036 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 56.

The spelling of 11461846188260 in words is "eleven trillion, four hundred sixty-one billion, eight hundred forty-six million, one hundred eighty-eight thousand, two hundred sixty".