11484264960 has 480 divisors, whose sum is σ = 46941852672. Its totient is φ = 2539192320.

The previous prime is 11484264959. The next prime is 11484265021. The reversal of 11484264960 is 6946248411.

11484264960 is a `hidden beast` number, since 114 + 8 + 42 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4998532 + ... + 5000828.

Almost surely, 2^11484264960 is an apocalyptic number.

11484264960 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 11484264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470926336).

11484264960 is an abundant number, since it is smaller than the sum of its proper divisors (35457587712).

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

11484264960 is a wasteful number, since it uses less digits than its factorization.

11484264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11484264960 in words is "eleven billion, four hundred eighty-four million, two hundred sixty-four thousand, nine hundred sixty".