11480198688 has 336 divisors, whose sum is σ = 39023772480. Its totient is φ = 3255095808.

The previous prime is 11480198671. The next prime is 11480198707. The reversal of 11480198688 is 88689108411.

It is a happy number.

11480198688 is a `hidden beast` number, since 1 + 1 + 480 + 1 + 9 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37394631 + ... + 37394937.

It is an arithmetic number, because the mean of its divisors is an integer number (116142180).

Almost surely, 2^11480198688 is an apocalyptic number.

11480198688 is a gapful number since it is divisible by the number (18) 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 11480198688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511886240).

11480198688 is an abundant number, since it is smaller than the sum of its proper divisors (27543573792).

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

11480198688 is an equidigital number, since it uses as much as digits as its factorization.

11480198688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 11480198688 in words is "eleven billion, four hundred eighty million, one hundred ninety-eight thousand, six hundred eighty-eight".