11864485353168 has 240 divisors, whose sum is σ = 39899603702400. Its totient is φ = 3219305886720.

The previous prime is 11864485353079. The next prime is 11864485353173. The reversal of 11864485353168 is 86135358446811.

It is a happy number.

11864485353168 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 4 + 4 + 8 + 535 + 31 + 68 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543678 + ... + 5109981.

It is an arithmetic number, because the mean of its divisors is an integer number (166248348760).

Almost surely, 2^{11864485353168} is an apocalyptic number.

11864485353168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11864485353168 is an abundant number, since it is smaller than the sum of its proper divisors (28035118349232).

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

11864485353168 is a wasteful number, since it uses less digits than its factorization.

11864485353168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653770 (or 6653761 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 11864485353168 in words is "eleven trillion, eight hundred sixty-four billion, four hundred eighty-five million, three hundred fifty-three thousand, one hundred sixty-eight".