11466648385920 has 3584 divisors, whose sum is σ = 53491874688000. Its totient is φ = 2284492750848.

The previous prime is 11466648385903. The next prime is 11466648385963. The reversal of 11466648385920 is 2958384666411.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 82493873211 + ... + 82493873349.

It is an arithmetic number, because the mean of its divisors is an integer number (14925188250).

Almost surely, 2^{11466648385920} is an apocalyptic number.

11466648385920 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 11466648385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745937344000).

11466648385920 is an abundant number, since it is smaller than the sum of its proper divisors (42025226302080).

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

11466648385920 is a wasteful number, since it uses less digits than its factorization.

11466648385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 11466648385920 in words is "eleven trillion, four hundred sixty-six billion, six hundred forty-eight million, three hundred eighty-five thousand, nine hundred twenty".