11631123453952 has 96 divisors (see below), whose sum is σ = 23524214313600. Its totient is φ = 5748776239104.

The previous prime is 11631123453931. The next prime is 11631123453959. The reversal of 11631123453952 is 25935432113611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631123453959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169419249 + ... + 169487887.

It is an arithmetic number, because the mean of its divisors is an integer number (245043899100).

Almost surely, 2^{11631123453952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631123453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762107156800).

11631123453952 is an abundant number, since it is smaller than the sum of its proper divisors (11893090859648).

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

11631123453952 is an frugal number, since it uses more digits than its factorization.

11631123453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69611 (or 69591 counting only the distinct ones).

The product of its digits is 583200, while the sum is 46.

The spelling of 11631123453952 in words is "eleven trillion, six hundred thirty-one billion, one hundred twenty-three million, four hundred fifty-three thousand, nine hundred fifty-two".