11405852898408 has 192 divisors, whose sum is σ = 31593158251200. Its totient is φ = 3716413747200.

The previous prime is 11405852898403. The next prime is 11405852898487. The reversal of 11405852898408 is 80489825850411.

11405852898408 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 585 + 2 + 8 + 9 + 8 + 40 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11405852898403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2213436760 + ... + 2213441912.

It is an arithmetic number, because the mean of its divisors is an integer number (164547699225).

Almost surely, 2^{11405852898408} is an apocalyptic number.

11405852898408 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 11405852898408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796579125600).

11405852898408 is an abundant number, since it is smaller than the sum of its proper divisors (20187305352792).

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

11405852898408 is a wasteful number, since it uses less digits than its factorization.

11405852898408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672 (or 8665 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 11405852898408 in words is "eleven trillion, four hundred five billion, eight hundred fifty-two million, eight hundred ninety-eight thousand, four hundred eight".