11381934852288 has 2016 divisors, whose sum is σ = 46667055052800. Its totient is φ = 2560959037440.

The previous prime is 11381934852257. The next prime is 11381934852329. The reversal of 11381934852288 is 88225843918311.

11381934852288 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 1 + 9 + 348 + 5 + 2 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31013446281 + ... + 31013446647.

It is an arithmetic number, because the mean of its divisors is an integer number (23148340800).

Almost surely, 2^{11381934852288} is an apocalyptic number.

11381934852288 is a gapful number since it is divisible by the number (18) 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 11381934852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23333527526400).

11381934852288 is an abundant number, since it is smaller than the sum of its proper divisors (35285120200512).

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

11381934852288 is a wasteful number, since it uses less digits than its factorization.

11381934852288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 571 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 11381934852288 in words is "eleven trillion, three hundred eighty-one billion, nine hundred thirty-four million, eight hundred fifty-two thousand, two hundred eighty-eight".