11523415464 has 192 divisors, whose sum is σ = 34540084800. Its totient is φ = 3441715200.

The previous prime is 11523415451. The next prime is 11523415471. The reversal of 11523415464 is 46451432511.

11523415464 is a `hidden beast` number, since 1 + 152 + 3 + 41 + 5 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29622982 + ... + 29623370.

It is an arithmetic number, because the mean of its divisors is an integer number (179896275).

Almost surely, 2^11523415464 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 11523415464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270042400).

11523415464 is an abundant number, since it is smaller than the sum of its proper divisors (23016669336).

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

11523415464 is a wasteful number, since it uses less digits than its factorization.

11523415464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 11523415464 its reverse (46451432511), we get a palindrome (57974847975).

The spelling of 11523415464 in words is "eleven billion, five hundred twenty-three million, four hundred fifteen thousand, four hundred sixty-four".