11961113472 has 768 divisors, whose sum is σ = 46437580800. Its totient is φ = 2861568000.

The previous prime is 11961113401. The next prime is 11961113513. The reversal of 11961113472 is 27431116911.

11961113472 is a `hidden beast` number, since 1 + 1 + 9 + 611 + 1 + 34 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79212597 + ... + 79212747.

It is an arithmetic number, because the mean of its divisors is an integer number (60465600).

Almost surely, 2^11961113472 is an apocalyptic number.

11961113472 is a gapful number since it is divisible by the number (12) 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 11961113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218790400).

11961113472 is an abundant number, since it is smaller than the sum of its proper divisors (34476467328).

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

11961113472 is a wasteful number, since it uses less digits than its factorization.

11961113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The spelling of 11961113472 in words is "eleven billion, nine hundred sixty-one million, one hundred thirteen thousand, four hundred seventy-two".