11638548853776 has 240 divisors, whose sum is σ = 36570284726976. Its totient is φ = 3431813059584.

The previous prime is 11638548853759. The next prime is 11638548853781. The reversal of 11638548853776 is 67735884583611.

11638548853776 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 8 + 5 + 4 + 88 + 537 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2902275 + ... + 5630301.

Almost surely, 2^{11638548853776} is an apocalyptic number.

11638548853776 is a gapful number since it is divisible by the number (16) 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 11638548853776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285142363488).

11638548853776 is an abundant number, since it is smaller than the sum of its proper divisors (24931735873200).

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

11638548853776 is a wasteful number, since it uses less digits than its factorization.

11638548853776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728150 (or 2728141 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 11638548853776 in words is "eleven trillion, six hundred thirty-eight billion, five hundred forty-eight million, eight hundred fifty-three thousand, seven hundred seventy-six".