11358231288768 has 336 divisors, whose sum is σ = 40245874905600. Its totient is φ = 2982377981952.

The previous prime is 11358231288727. The next prime is 11358231288773. The reversal of 11358231288768 is 86788213285311.

11358231288768 is a `hidden beast` number, since 1 + 1 + 3 + 58 + 231 + 288 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 11421133 + ... + 12375731.

It is an arithmetic number, because the mean of its divisors is an integer number (119779389600).

Almost surely, 2^{11358231288768} is an apocalyptic number.

11358231288768 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 11358231288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122937452800).

11358231288768 is an abundant number, since it is smaller than the sum of its proper divisors (28887643616832).

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

11358231288768 is a wasteful number, since it uses less digits than its factorization.

11358231288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954864 (or 954851 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 11358231288768 in words is "eleven trillion, three hundred fifty-eight billion, two hundred thirty-one million, two hundred eighty-eight thousand, seven hundred sixty-eight".