11428386816 has 768 divisors, whose sum is σ = 42456960000. Its totient is φ = 2697461760.

The previous prime is 11428386797. The next prime is 11428386821. The reversal of 11428386816 is 61868382411.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×11428386816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394082290 + ... + 394082318.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 2^11428386816 is an apocalyptic number.

11428386816 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 11428386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480000).

11428386816 is an abundant number, since it is smaller than the sum of its proper divisors (31028573184).

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

11428386816 is a wasteful number, since it uses less digits than its factorization.

11428386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 11428386816 in words is "eleven billion, four hundred twenty-eight million, three hundred eighty-six thousand, eight hundred sixteen".