11004639408 has 480 divisors, whose sum is σ = 38031851520. Its totient is φ = 2904491520.

The previous prime is 11004639353. The next prime is 11004639433. The reversal of 11004639408 is 80493640011.

11004639408 is a `hidden beast` number, since 1 + 10 + 0 + 4 + 639 + 4 + 0 + 8 = 666.

It is a Cunningham number, because it is equal to 104903²-1.

It is a super-2 number, since 2×11004639408² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86650641 + ... + 86650767.

It is an arithmetic number, because the mean of its divisors is an integer number (79233024).

Almost surely, 2^11004639408 is an apocalyptic number.

11004639408 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 11004639408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015925760).

11004639408 is an abundant number, since it is smaller than the sum of its proper divisors (27027212112).

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

11004639408 is a wasteful number, since it uses less digits than its factorization.

11004639408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11004639408 in words is "eleven billion, four million, six hundred thirty-nine thousand, four hundred eight".