11463248160 has 432 divisors, whose sum is σ = 49009307256. Its totient is φ = 2418425856.

The previous prime is 11463248143. The next prime is 11463248171. The reversal of 11463248160 is 6184236411.

11463248160 is a `hidden beast` number, since 1 + 1 + 4 + 632 + 4 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7355463696 + 4107784464 = 85764^2 + 64092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911032 + ... + 923528.

Almost surely, 2^11463248160 is an apocalyptic number.

11463248160 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 11463248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504653628).

11463248160 is an abundant number, since it is smaller than the sum of its proper divisors (37546059096).

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

11463248160 is a wasteful number, since it uses less digits than its factorization.

11463248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11463248160 in words is "eleven billion, four hundred sixty-three million, two hundred forty-eight thousand, one hundred sixty".