11253406311432 has 96 divisors (see below), whose sum is σ = 30797647335000. Its totient is φ = 3711804936192.

The previous prime is 11253406311421. The next prime is 11253406311437. The reversal of 11253406311432 is 23411360435211.

11253406311432 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 4 + 0 + 631 + 14 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8363698704036 + 2889707607396 = 2892006^2 + 1699914^2 .

It is a super-2 number, since 2×11253406311432² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11253406311437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40010878 + ... + 40291154.

Almost surely, 2^{11253406311432} is an apocalyptic number.

11253406311432 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 11253406311432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398823667500).

11253406311432 is an abundant number, since it is smaller than the sum of its proper divisors (19544241023568).

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

11253406311432 is a wasteful number, since it uses less digits than its factorization.

11253406311432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286135 (or 286128 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 11253406311432 its reverse (23411360435211), we get a palindrome (34664766746643).

The spelling of 11253406311432 in words is "eleven trillion, two hundred fifty-three billion, four hundred six million, three hundred eleven thousand, four hundred thirty-two".