11405062368 has 288 divisors, whose sum is σ = 38045681856. Its totient is φ = 3173474304.

The previous prime is 11405062349. The next prime is 11405062433. The reversal of 11405062368 is 86326050411.

It is a happy number.

11405062368 is a `hidden beast` number, since 1 + 140 + 506 + 2 + 3 + 6 + 8 = 666.

11405062368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 18484396 + ... + 18485012.

It is an arithmetic number, because the mean of its divisors is an integer number (132103062).

Almost surely, 2^11405062368 is an apocalyptic number.

11405062368 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 11405062368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022840928).

11405062368 is an abundant number, since it is smaller than the sum of its proper divisors (26640619488).

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

11405062368 is a wasteful number, since it uses less digits than its factorization.

11405062368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11405062368 in words is "eleven billion, four hundred five million, sixty-two thousand, three hundred sixty-eight".