11463516480 has 224 divisors, whose sum is σ = 40901624064. Its totient is φ = 2699034624.

The previous prime is 11463516479. The next prime is 11463516577. The reversal of 11463516480 is 8461536411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267072 + ... + 307008.

It is an arithmetic number, because the mean of its divisors is an integer number (182596536).

Almost surely, 2^11463516480 is an apocalyptic number.

11463516480 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 11463516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450812032).

11463516480 is an abundant number, since it is smaller than the sum of its proper divisors (29438107584).

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

11463516480 is a wasteful number, since it uses less digits than its factorization.

11463516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39993 (or 39983 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 11463516480 in words is "eleven billion, four hundred sixty-three million, five hundred sixteen thousand, four hundred eighty".