11163664404312 has 256 divisors, whose sum is σ = 33123653222400. Its totient is φ = 3068881344000.

The previous prime is 11163664404311. The next prime is 11163664404317. The reversal of 11163664404312 is 21340446636111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11163664404311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460326187 + ... + 460350437.

It is an arithmetic number, because the mean of its divisors is an integer number (129389270400).

Almost surely, 2^{11163664404312} is an apocalyptic number.

11163664404312 is a gapful number since it is divisible by the number (12) 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 11163664404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561826611200).

11163664404312 is an abundant number, since it is smaller than the sum of its proper divisors (21959988818088).

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

11163664404312 is a wasteful number, since it uses less digits than its factorization.

11163664404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25126 (or 25122 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 11163664404312 in words is "eleven trillion, one hundred sixty-three billion, six hundred sixty-four million, four hundred four thousand, three hundred twelve".