11049365376 has 384 divisors, whose sum is σ = 37531952640. Its totient is φ = 3055104000.

The previous prime is 11049365359. The next prime is 11049365387. The reversal of 11049365376 is 67356394011.

It is a happy number.

11049365376 is a `hidden beast` number, since 1 + 104 + 9 + 3 + 6 + 537 + 6 = 666.

11049365376 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 (384).

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, 44021251 + ... + 44021501.

It is an arithmetic number, because the mean of its divisors is an integer number (97739460).

Almost surely, 2^11049365376 is an apocalyptic number.

11049365376 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 11049365376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765976320).

11049365376 is an abundant number, since it is smaller than the sum of its proper divisors (26482587264).

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

11049365376 is a wasteful number, since it uses less digits than its factorization.

11049365376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 11049365376 in words is "eleven billion, forty-nine million, three hundred sixty-five thousand, three hundred seventy-six".