11461948680 has 512 divisors, whose sum is σ = 44642304000. Its totient is φ = 2336947200.

The previous prime is 11461948669. The next prime is 11461948691. The reversal of 11461948680 is 8684916411.

11461948680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11461948669) and next prime (11461948691).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16587135 + ... + 16587825.

It is an arithmetic number, because the mean of its divisors is an integer number (87192000).

Almost surely, 2^11461948680 is an apocalyptic number.

11461948680 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 11461948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22321152000).

11461948680 is an abundant number, since it is smaller than the sum of its proper divisors (33180355320).

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

11461948680 is a wasteful number, since it uses less digits than its factorization.

11461948680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11461948680 in words is "eleven billion, four hundred sixty-one million, nine hundred forty-eight thousand, six hundred eighty".