11947922784 has 288 divisors, whose sum is σ = 41174654976. Its totient is φ = 3213665280.

The previous prime is 11947922743. The next prime is 11947922801. The reversal of 11947922784 is 48722974911.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11947922784.

It is a congruent number.

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, 2309769 + ... + 2314935.

It is an arithmetic number, because the mean of its divisors is an integer number (142967552).

Almost surely, 2^11947922784 is an apocalyptic number.

11947922784 is a gapful number since it is divisible by the number (14) 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 11947922784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20587327488).

11947922784 is an abundant number, since it is smaller than the sum of its proper divisors (29226732192).

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

11947922784 is a wasteful number, since it uses less digits than its factorization.

11947922784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5247 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 11947922784 in words is "eleven billion, nine hundred forty-seven million, nine hundred twenty-two thousand, seven hundred eighty-four".