11430618117828 has 144 divisors (see below), whose sum is σ = 33416897209920. Its totient is φ = 3014278638336.

The previous prime is 11430618117823. The next prime is 11430618117869. The reversal of 11430618117828 is 82871181603411.

It is not an unprimeable number, because it can be changed into a prime (11430618117823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61586775 + ... + 61772097.

It is an arithmetic number, because the mean of its divisors is an integer number (232061786180).

Almost surely, 2^{11430618117828} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11430618117828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708448604960).

11430618117828 is an abundant number, since it is smaller than the sum of its proper divisors (21986279092092).

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

11430618117828 is a wasteful number, since it uses less digits than its factorization.

11430618117828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193426 (or 193417 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 11430618117828 in words is "eleven trillion, four hundred thirty billion, six hundred eighteen million, one hundred seventeen thousand, eight hundred twenty-eight".