11438928465408 has 240 divisors, whose sum is σ = 36160862989680. Its totient is φ = 3464935047168.

The previous prime is 11438928465407. The next prime is 11438928465413. The reversal of 11438928465408 is 80456482983411.

It is a happy number.

11438928465408 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 8 + 9 + 2 + 84 + 6 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438928465407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 245910 + ... + 4789397.

It is an arithmetic number, because the mean of its divisors is an integer number (150670262457).

Almost surely, 2^{11438928465408} is an apocalyptic number.

11438928465408 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 11438928465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080431494840).

11438928465408 is an abundant number, since it is smaller than the sum of its proper divisors (24721934524272).

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

11438928465408 is a wasteful number, since it uses less digits than its factorization.

11438928465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035377 (or 5035358 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 11438928465408 in words is "eleven trillion, four hundred thirty-eight billion, nine hundred twenty-eight million, four hundred sixty-five thousand, four hundred eight".