11681466347520 has 1040 divisors, whose sum is σ = 42827412798720. Its totient is φ = 3044907417600.

The previous prime is 11681466347489. The next prime is 11681466347527. The reversal of 11681466347520 is 2574366418611.

11681466347520 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 14 + 6 + 63 + 47 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681466347527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24387194641 + ... + 24387195119.

Almost surely, 2^{11681466347520} is an apocalyptic number.

11681466347520 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 11681466347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413706399360).

11681466347520 is an abundant number, since it is smaller than the sum of its proper divisors (31145946451200).

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

11681466347520 is an equidigital number, since it uses as much as digits as its factorization.

11681466347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11681466347520 in words is "eleven trillion, six hundred eighty-one billion, four hundred sixty-six million, three hundred forty-seven thousand, five hundred twenty".