11473630224 has 320 divisors, whose sum is σ = 37300469760. Its totient is φ = 2967022080.

The previous prime is 11473630211. The next prime is 11473630277. The reversal of 11473630224 is 42203637411.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11259187 + ... + 11260205.

It is an arithmetic number, because the mean of its divisors is an integer number (116563968).

Almost surely, 2^11473630224 is an apocalyptic number.

11473630224 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 11473630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650234880).

11473630224 is an abundant number, since it is smaller than the sum of its proper divisors (25826839536).

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

11473630224 is a wasteful number, since it uses less digits than its factorization.

11473630224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 11473630224 in words is "eleven billion, four hundred seventy-three million, six hundred thirty thousand, two hundred twenty-four".