11294088228864 has 832 divisors, whose sum is σ = 40345327488000. Its totient is φ = 3050003496960.

The previous prime is 11294088228851. The next prime is 11294088228889. The reversal of 11294088228864 is 46882288049211.

11294088228864 is a `hidden beast` number, since 1 + 1 + 294 + 0 + 8 + 8 + 2 + 288 + 64 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11193347592 + ... + 11193348600.

Almost surely, 2^{11294088228864} is an apocalyptic number.

11294088228864 is a gapful number since it is divisible by the number (14) 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 11294088228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172663744000).

11294088228864 is an abundant number, since it is smaller than the sum of its proper divisors (29051239259136).

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

11294088228864 is a wasteful number, since it uses less digits than its factorization.

11294088228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 11294088228864 in words is "eleven trillion, two hundred ninety-four billion, eighty-eight million, two hundred twenty-eight thousand, eight hundred sixty-four".