11858460408 has 96 divisors (see below), whose sum is σ = 32981644800. Its totient is φ = 3847544064.

The previous prime is 11858460401. The next prime is 11858460413. The reversal of 11858460408 is 80406485811.

11858460408 is a `hidden beast` number, since 1 + 1 + 8 + 584 + 60 + 4 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11858460401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 472398 + ... + 496866.

It is an arithmetic number, because the mean of its divisors is an integer number (343558800).

Almost surely, 2^11858460408 is an apocalyptic number.

11858460408 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 11858460408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490822400).

11858460408 is an abundant number, since it is smaller than the sum of its proper divisors (21123184392).

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

11858460408 is a wasteful number, since it uses less digits than its factorization.

11858460408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24661 (or 24654 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11858460408 in words is "eleven billion, eight hundred fifty-eight million, four hundred sixty thousand, four hundred eight".