11414632320 has 1536 divisors, whose sum is σ = 54502761600. Its totient is φ = 2229534720.

The previous prime is 11414632291. The next prime is 11414632321. The reversal of 11414632320 is 2323641411.

It is a happy number.

11414632320 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 632 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414632321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187125090 + ... + 187125150.

Almost surely, 2^11414632320 is an apocalyptic number.

11414632320 is a gapful number since it is divisible by the number (10) 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 11414632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27251380800).

11414632320 is an abundant number, since it is smaller than the sum of its proper divisors (43088129280).

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

11414632320 is a wasteful number, since it uses less digits than its factorization.

11414632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Subtracting from 11414632320 its reverse (2323641411), we obtain a palindrome (9090990909).

The spelling of 11414632320 in words is "eleven billion, four hundred fourteen million, six hundred thirty-two thousand, three hundred twenty".