33873145344 has 120 divisors (see below), whose sum is σ = 98327592792. Its totient is φ = 11225518080.

The previous prime is 33873145343. The next prime is 33873145349. The reversal of 33873145344 is 44354137833.

33873145344 is a `hidden beast` number, since 3 + 3 + 87 + 31 + 4 + 534 + 4 = 666.

It is a super-2 number, since 2×33873145344² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33873145344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33873145343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775939 + ... + 818429.

Almost surely, 2^33873145344 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 33873145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49163796396).

33873145344 is an abundant number, since it is smaller than the sum of its proper divisors (64454447448).

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

33873145344 is a wasteful number, since it uses less digits than its factorization.

33873145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42688 (or 42669 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 33873145344 in words is "thirty-three billion, eight hundred seventy-three million, one hundred forty-five thousand, three hundred forty-four".