11638164222720 has 1152 divisors, whose sum is σ = 48904515072000. Its totient is φ = 2564336517120.

The previous prime is 11638164222673. The next prime is 11638164222791. The reversal of 11638164222720 is 2722246183611.

11638164222720 is a `hidden beast` number, since 1 + 1 + 6 + 381 + 6 + 42 + 227 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 7233165276 + ... + 7233166884.

It is an arithmetic number, because the mean of its divisors is an integer number (42451836000).

Almost surely, 2^{11638164222720} is an apocalyptic number.

11638164222720 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 11638164222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24452257536000).

11638164222720 is an abundant number, since it is smaller than the sum of its proper divisors (37266350849280).

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

11638164222720 is a wasteful number, since it uses less digits than its factorization.

11638164222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11638164222720 in words is "eleven trillion, six hundred thirty-eight billion, one hundred sixty-four million, two hundred twenty-two thousand, seven hundred twenty".