11230538922624 has 256 divisors, whose sum is σ = 34728053391360. Its totient is φ = 3149333913600.

The previous prime is 11230538922587. The next prime is 11230538922641. The reversal of 11230538922624 is 42622983503211.

It is a super-2 number, since 2×11230538922624² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42427164 + ... + 42691044.

It is an arithmetic number, because the mean of its divisors is an integer number (135656458560).

Almost surely, 2^{11230538922624} is an apocalyptic number.

11230538922624 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 11230538922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364026695680).

11230538922624 is an abundant number, since it is smaller than the sum of its proper divisors (23497514468736).

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

11230538922624 is a wasteful number, since it uses less digits than its factorization.

11230538922624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264199 (or 264187 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 11230538922624 in words is "eleven trillion, two hundred thirty billion, five hundred thirty-eight million, nine hundred twenty-two thousand, six hundred twenty-four".