11234001408 has 320 divisors, whose sum is σ = 36371005440. Its totient is φ = 3009871872.

The previous prime is 11234001407. The next prime is 11234001413. The reversal of 11234001408 is 80410043211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11234001407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25944360 + ... + 25944792.

It is an arithmetic number, because the mean of its divisors is an integer number (113659392).

Almost surely, 2^11234001408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185502720).

11234001408 is an abundant number, since it is smaller than the sum of its proper divisors (25137004032).

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

11234001408 is a wasteful number, since it uses less digits than its factorization.

11234001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11234001408 its reverse (80410043211), we get a palindrome (91644044619).

The spelling of 11234001408 in words is "eleven billion, two hundred thirty-four million, one thousand, four hundred eight".