11633213142 has 64 divisors (see below), whose sum is σ = 26574658560. Its totient is φ = 3769470432.

The previous prime is 11633213093. The next prime is 11633213167. The reversal of 11633213142 is 24131233611.

It is a happy number.

11633213142 is a `hidden beast` number, since 1 + 1 + 633 + 2 + 13 + 14 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3041043 + ... + 3044865.

It is an arithmetic number, because the mean of its divisors is an integer number (415229040).

Almost surely, 2^11633213142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11633213142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287329280).

11633213142 is an abundant number, since it is smaller than the sum of its proper divisors (14941445418).

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

11633213142 is a wasteful number, since it uses less digits than its factorization.

11633213142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5388 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11633213142 its reverse (24131233611), we get a palindrome (35764446753).

The spelling of 11633213142 in words is "eleven billion, six hundred thirty-three million, two hundred thirteen thousand, one hundred forty-two".