11253233541504 has 64 divisors (see below), whose sum is σ = 29891824200000. Its totient is φ = 3751024814592.

The previous prime is 11253233541503. The next prime is 11253233541541. The reversal of 11253233541504 is 40514533235211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253233541503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34589707 + ... + 34913525.

It is an arithmetic number, because the mean of its divisors is an integer number (467059753125).

Almost surely, 2^{11253233541504} is an apocalyptic number.

It is an amenable number.

11253233541504 is an abundant number, since it is smaller than the sum of its proper divisors (18638590658496).

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

11253233541504 is an equidigital number, since it uses as much as digits as its factorization.

11253233541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414335 (or 414323 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 11253233541504 its reverse (40514533235211), we get a palindrome (51767766776715).

The spelling of 11253233541504 in words is "eleven trillion, two hundred fifty-three billion, two hundred thirty-three million, five hundred forty-one thousand, five hundred four".