11481668352000 has 5376 divisors, whose sum is σ = 57914010685440. Its totient is φ = 2197684224000.

The previous prime is 11481668351969. The next prime is 11481668352013. The reversal of 11481668352000 is 25386618411.

11481668352000 is a `hidden beast` number, since 1 + 1 + 48 + 1 + 6 + 6 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 244290815977 + ... + 244290816023.

It is an arithmetic number, because the mean of its divisors is an integer number (10772695440).

Almost surely, 2^{11481668352000} is an apocalyptic number.

11481668352000 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 11481668352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957005342720).

11481668352000 is an abundant number, since it is smaller than the sum of its proper divisors (46432342333440).

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

11481668352000 is an equidigital number, since it uses as much as digits as its factorization.

11481668352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11481668352000 in words is "eleven trillion, four hundred eighty-one billion, six hundred sixty-eight million, three hundred fifty-two thousand".