11411464064 has 512 divisors, whose sum is σ = 33559142400. Its totient is φ = 3738009600.

The previous prime is 11411464063. The next prime is 11411464147. The reversal of 11411464064 is 46046411411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11411464064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411464063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368111729 + ... + 368111759.

It is an arithmetic number, because the mean of its divisors is an integer number (65545200).

Almost surely, 2^11411464064 is an apocalyptic number.

11411464064 is a gapful number since it is divisible by the number (14) 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 11411464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779571200).

11411464064 is an abundant number, since it is smaller than the sum of its proper divisors (22147678336).

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

11411464064 is a wasteful number, since it uses less digits than its factorization.

11411464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 11411464064 its reverse (46046411411), we get a palindrome (57457875475).

The spelling of 11411464064 in words is "eleven billion, four hundred eleven million, four hundred sixty-four thousand, sixty-four".