11481777216 has 1008 divisors, whose sum is σ = 45743530560. Its totient is φ = 2821754880.

The previous prime is 11481777191. The next prime is 11481777217. The reversal of 11481777216 is 61277718411.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11481777217) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188225826 + ... + 188225886.

Almost surely, 2^11481777216 is an apocalyptic number.

11481777216 is a gapful number since it is divisible by the number (16) 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 11481777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22871765280).

11481777216 is an abundant number, since it is smaller than the sum of its proper divisors (34261753344).

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

11481777216 is a wasteful number, since it uses less digits than its factorization.

11481777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The spelling of 11481777216 in words is "eleven billion, four hundred eighty-one million, seven hundred seventy-seven thousand, two hundred sixteen".