11459466240 has 176 divisors, whose sum is σ = 36758355648. Its totient is φ = 3047030784.

The previous prime is 11459466229. The next prime is 11459466251. The reversal of 11459466240 is 4266495411.

It is an interprime number because it is at equal distance from previous prime (11459466229) and next prime (11459466251).

It is a junction number, because it is equal to n+sod(n) for n = 11459466192 and 11459466201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6650019 + ... + 6651741.

Almost surely, 2^11459466240 is an apocalyptic number.

11459466240 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 11459466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379177824).

11459466240 is an abundant number, since it is smaller than the sum of its proper divisors (25298889408).

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

11459466240 is a wasteful number, since it uses less digits than its factorization.

11459466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11459466240 in words is "eleven billion, four hundred fifty-nine million, four hundred sixty-six thousand, two hundred forty".