11453501144052 has 288 divisors, whose sum is σ = 33211950355584. Its totient is φ = 3422509977600.

The previous prime is 11453501144051. The next prime is 11453501144083. The reversal of 11453501144052 is 25044110535411.

11453501144052 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 501 + 144 + 0 + 5 + 2 = 666.

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 = 11453501143998 and 11453501144016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11453501144051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237990552 + ... + 238038672.

It is an arithmetic number, because the mean of its divisors is an integer number (115319272068).

Almost surely, 2^{11453501144052} is an apocalyptic number.

11453501144052 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 11453501144052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605975177792).

11453501144052 is an abundant number, since it is smaller than the sum of its proper divisors (21758449211532).

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

11453501144052 is a wasteful number, since it uses less digits than its factorization.

11453501144052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48461 (or 48447 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11453501144052 its reverse (25044110535411), we get a palindrome (36497611679463).

The spelling of 11453501144052 in words is "eleven trillion, four hundred fifty-three billion, five hundred one million, one hundred forty-four thousand, fifty-two".