11433201712128 has 1408 divisors, whose sum is σ = 41922518077440. Its totient is φ = 3004138782720.

The previous prime is 11433201712117. The next prime is 11433201712139. The reversal of 11433201712128 is 82121710233411.

11433201712128 is a `hidden beast` number, since 1 + 1 + 43 + 320 + 171 + 2 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (11433201712117) and next prime (11433201712139).

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

It is a junction number, because it is equal to n+sod(n) for n = 11433201712092 and 11433201712101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43472249725 + ... + 43472249987.

It is an arithmetic number, because the mean of its divisors is an integer number (29774515680).

Almost surely, 2^{11433201712128} is an apocalyptic number.

11433201712128 is a gapful number since it is divisible by the number (18) 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 11433201712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961259038720).

11433201712128 is an abundant number, since it is smaller than the sum of its proper divisors (30489316365312).

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

11433201712128 is a wasteful number, since it uses less digits than its factorization.

11433201712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11433201712128 its reverse (82121710233411), we get a palindrome (93554911945539).

The spelling of 11433201712128 in words is "eleven trillion, four hundred thirty-three billion, two hundred one million, seven hundred twelve thousand, one hundred twenty-eight".