11484975096 has 448 divisors, whose sum is σ = 38954520000. Its totient is φ = 3103930368.

The previous prime is 11484975091. The next prime is 11484975109. The reversal of 11484975096 is 69057948411.

11484975096 is a `hidden beast` number, since 1 + 1 + 48 + 4 + 97 + 509 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11484975091) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 105366690 + ... + 105366798.

Almost surely, 2^11484975096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11484975096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477260000).

11484975096 is an abundant number, since it is smaller than the sum of its proper divisors (27469544904).

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

11484975096 is a wasteful number, since it uses less digits than its factorization.

11484975096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11484975096 in words is "eleven billion, four hundred eighty-four million, nine hundred seventy-five thousand, ninety-six".