33745019652 has 144 divisors (see below), whose sum is σ = 92506285872. Its totient is φ = 10332241920.

The previous prime is 33745019629. The next prime is 33745019663. The reversal of 33745019652 is 25691054733.

33745019652 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 501 + 96 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4567597056 + 29177422596 = 67584^2 + 170814^2 .

It is a super-2 number, since 2×33745019652² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33745019598 and 33745019607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6387252 + ... + 6392532.

It is an arithmetic number, because the mean of its divisors is an integer number (642404763).

Almost surely, 2^33745019652 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 33745019652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46253142936).

33745019652 is an abundant number, since it is smaller than the sum of its proper divisors (58761266220).

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

33745019652 is a wasteful number, since it uses less digits than its factorization.

33745019652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 33745019652 in words is "thirty-three billion, seven hundred forty-five million, nineteen thousand, six hundred fifty-two".