11034563904 has 784 divisors, whose sum is σ = 42536132352. Its totient is φ = 2759049216.

The previous prime is 11034563873. The next prime is 11034563921. The reversal of 11034563904 is 40936543011.

11034563904 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 4 + 563 + 90 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 97650952 + ... + 97651064.

Almost surely, 2^11034563904 is an apocalyptic number.

11034563904 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 11034563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268066176).

11034563904 is an abundant number, since it is smaller than the sum of its proper divisors (31501568448).

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

11034563904 is a wasteful number, since it uses less digits than its factorization.

11034563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11034563904 in words is "eleven billion, thirty-four million, five hundred sixty-three thousand, nine hundred four".