11101431428352 has 360 divisors, whose sum is σ = 34328410439400. Its totient is φ = 3564059885568.

The previous prime is 11101431428327. The next prime is 11101431428413. The reversal of 11101431428352 is 25382413410111.

11101431428352 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 14 + 314 + 283 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2073185300736 + 9028246127616 = 1439856^2 + 3004704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245927128 + ... + 245972264.

It is an arithmetic number, because the mean of its divisors is an integer number (95356695665).

Almost surely, 2^{11101431428352} is an apocalyptic number.

11101431428352 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 11101431428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164205219700).

11101431428352 is an abundant number, since it is smaller than the sum of its proper divisors (23226979011048).

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

11101431428352 is an equidigital number, since it uses as much as digits as its factorization.

11101431428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45603 (or 45580 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 11101431428352 its reverse (25382413410111), we get a palindrome (36483844838463).

The spelling of 11101431428352 in words is "eleven trillion, one hundred one billion, four hundred thirty-one million, four hundred twenty-eight thousand, three hundred fifty-two".