33542664652 has 192 divisors, whose sum is σ = 74132029440. Its totient is φ = 12969792000.

The previous prime is 33542664641. The next prime is 33542664653. The reversal of 33542664652 is 25646624533.

It is a super-2 number, since 2×33542664652² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

Its product of digits (3110400) is a multiple of the sum of its prime divisors (450).

It is not an unprimeable number, because it can be changed into a prime (33542664653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187389099 + ... + 187389277.

It is an arithmetic number, because the mean of its divisors is an integer number (386104320).

Almost surely, 2^33542664652 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 33542664652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37066014720).

33542664652 is an abundant number, since it is smaller than the sum of its proper divisors (40589364788).

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

33542664652 is a wasteful number, since it uses less digits than its factorization.

33542664652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 46.

The spelling of 33542664652 in words is "thirty-three billion, five hundred forty-two million, six hundred sixty-four thousand, six hundred fifty-two".