33266144142 has 96 divisors (see below), whose sum is σ = 90508803840. Its totient is φ = 8578344960.

The previous prime is 33266144089. The next prime is 33266144201. The reversal of 33266144142 is 24144166233.

33266144142 is a `hidden beast` number, since 3 + 3 + 26 + 614 + 4 + 14 + 2 = 666.

It is a super-2 number, since 2×33266144142² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33266144097 and 33266144106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106318 + ... + 278990.

It is an arithmetic number, because the mean of its divisors is an integer number (942800040).

Almost surely, 2^33266144142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33266144142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45254401920).

33266144142 is an abundant number, since it is smaller than the sum of its proper divisors (57242659698).

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

33266144142 is a wasteful number, since it uses less digits than its factorization.

33266144142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172838 (or 172835 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 33266144142 in words is "thirty-three billion, two hundred sixty-six million, one hundred forty-four thousand, one hundred forty-two".