33545225142 has 320 divisors, whose sum is σ = 91066187520. Its totient is φ = 9132912000.

The previous prime is 33545225117. The next prime is 33545225149. The reversal of 33545225142 is 24152254533.

33545225142 is a `hidden beast` number, since 3 + 3 + 545 + 22 + 51 + 42 = 666.

It is a super-2 number, since 2×33545225142² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33545225097 and 33545225106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33545225149) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 332130892 + ... + 332130992.

It is an arithmetic number, because the mean of its divisors is an integer number (284581836).

Almost surely, 2^33545225142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33545225142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45533093760).

33545225142 is an abundant number, since it is smaller than the sum of its proper divisors (57520962378).

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

33545225142 is a wasteful number, since it uses less digits than its factorization.

33545225142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 33545225142 its reverse (24152254533), we get a palindrome (57697479675).

The spelling of 33545225142 in words is "thirty-three billion, five hundred forty-five million, two hundred twenty-five thousand, one hundred forty-two".