11446000245408 has 192 divisors, whose sum is σ = 31937372651520. Its totient is φ = 3582975513600.

The previous prime is 11446000245401. The next prime is 11446000245437. The reversal of 11446000245408 is 80454200064411.

11446000245408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11446000245401) 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, 41595313 + ... + 41869583.

It is an arithmetic number, because the mean of its divisors is an integer number (166340482560).

Almost surely, 2^{11446000245408} 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 11446000245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968686325760).

11446000245408 is an abundant number, since it is smaller than the sum of its proper divisors (20491372406112).

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

11446000245408 is a wasteful number, since it uses less digits than its factorization.

11446000245408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274731 (or 274723 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 11446000245408 in words is "eleven trillion, four hundred forty-six billion, two hundred forty-five thousand, four hundred eight".