11003489684460 has 480 divisors, whose sum is σ = 42579004406400. Its totient is φ = 2316430835712.

The previous prime is 11003489684423. The next prime is 11003489684543. The reversal of 11003489684460 is 6448698430011.

11003489684460 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 3 + 489 + 68 + 44 + 60 = 666.

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 = 11003489684397 and 11003489684406.

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 159 ways as a sum of consecutive naturals, for example, 66108462 + ... + 66274698.

It is an arithmetic number, because the mean of its divisors is an integer number (88706259180).

Almost surely, 2^{11003489684460} is an apocalyptic number.

11003489684460 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 11003489684460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21289502203200).

11003489684460 is an abundant number, since it is smaller than the sum of its proper divisors (31575514721940).

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

11003489684460 is a wasteful number, since it uses less digits than its factorization.

11003489684460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166727 (or 166716 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11003489684460 in words is "eleven trillion, three billion, four hundred eighty-nine million, six hundred eighty-four thousand, four hundred sixty".