11614720480 has 96 divisors (see below), whose sum is σ = 30344696928. Its totient is φ = 4165632000.

The previous prime is 11614720459. The next prime is 11614720483. The reversal of 11614720480 is 8402741611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11614720483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83280 + ... + 173680.

It is an arithmetic number, because the mean of its divisors is an integer number (316090593).

Almost surely, 2^11614720480 is an apocalyptic number.

11614720480 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 11614720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172348464).

11614720480 is an abundant number, since it is smaller than the sum of its proper divisors (18729976448).

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

11614720480 is a wasteful number, since it uses less digits than its factorization.

11614720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90500 (or 90492 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 11614720480 in words is "eleven billion, six hundred fourteen million, seven hundred twenty thousand, four hundred eighty".