33642417852 has 72 divisors (see below), whose sum is σ = 93377911536. Its totient is φ = 10554478848.

The previous prime is 33642417833. The next prime is 33642417917. The reversal of 33642417852 is 25871424633.

33642417852 is a `hidden beast` number, since 3 + 3 + 6 + 424 + 178 + 52 = 666.

It is a super-2 number, since 2×33642417852² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33642417798 and 33642417807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001463 + ... + 1034510.

It is an arithmetic number, because the mean of its divisors is an integer number (1296915438).

Almost surely, 2^33642417852 is an apocalyptic number.

It is an amenable number.

33642417852 is an abundant number, since it is smaller than the sum of its proper divisors (59735493684).

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

33642417852 is a wasteful number, since it uses less digits than its factorization.

33642417852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036009 (or 2035995 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 33642417852 in words is "thirty-three billion, six hundred forty-two million, four hundred seventeen thousand, eight hundred fifty-two".