11618414304 has 384 divisors, whose sum is σ = 38465280000. Its totient is φ = 3065728512.

The previous prime is 11618414303. The next prime is 11618414341. The reversal of 11618414304 is 40341481611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11618414303) 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, 400634962 + ... + 400634990.

It is an arithmetic number, because the mean of its divisors is an integer number (100170000).

Almost surely, 2^11618414304 is an apocalyptic number.

11618414304 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 11618414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232640000).

11618414304 is an abundant number, since it is smaller than the sum of its proper divisors (26846865696).

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

11618414304 is an frugal number, since it uses more digits than its factorization.

11618414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 11618414304 its reverse (40341481611), we get a palindrome (51959895915).

The spelling of 11618414304 in words is "eleven billion, six hundred eighteen million, four hundred fourteen thousand, three hundred four".