11633115132 has 48 divisors (see below), whose sum is σ = 30584736000. Its totient is φ = 3823086960.

The previous prime is 11633115119. The next prime is 11633115133. The reversal of 11633115132 is 23151133611.

It is a happy number.

11633115132 is a `hidden beast` number, since 1 + 1 + 633 + 1 + 15 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11633115096 and 11633115105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11633115133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750882 + ... + 766217.

It is an arithmetic number, because the mean of its divisors is an integer number (637182000).

Almost surely, 2^11633115132 is an apocalyptic number.

11633115132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11633115132 is an abundant number, since it is smaller than the sum of its proper divisors (18951620868).

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

11633115132 is a wasteful number, since it uses less digits than its factorization.

11633115132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517183 (or 1517175 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

Adding to 11633115132 its reverse (23151133611), we get a palindrome (34784248743).

The spelling of 11633115132 in words is "eleven billion, six hundred thirty-three million, one hundred fifteen thousand, one hundred thirty-two".