11484661760 has 576 divisors, whose sum is σ = 35135493120. Its totient is φ = 3568435200.

The previous prime is 11484661759. The next prime is 11484661781. The reversal of 11484661760 is 6716648411.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370472945 + ... + 370472975.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 2^11484661760 is an apocalyptic number.

11484661760 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 11484661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567746560).

11484661760 is an abundant number, since it is smaller than the sum of its proper divisors (23650831360).

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

11484661760 is a wasteful number, since it uses less digits than its factorization.

11484661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 11484661760 in words is "eleven billion, four hundred eighty-four million, six hundred sixty-one thousand, seven hundred sixty".