11363265543168 has 2640 divisors, whose sum is σ = 46157570198784. Its totient is φ = 2746786775040.

The previous prime is 11363265543101. The next prime is 11363265543271. The reversal of 11363265543168 is 86134556236311.

11363265543168 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 3 + 26 + 554 + 3 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 44215040896 + ... + 44215041152.

Almost surely, 2^{11363265543168} is an apocalyptic number.

11363265543168 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 11363265543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078785099392).

11363265543168 is an abundant number, since it is smaller than the sum of its proper divisors (34794304655616).

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

11363265543168 is a wasteful number, since it uses less digits than its factorization.

11363265543168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 346 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 11363265543168 in words is "eleven trillion, three hundred sixty-three billion, two hundred sixty-five million, five hundred forty-three thousand, one hundred sixty-eight".