33864574561 has 48 divisors (see below), whose sum is σ = 38070466560. Its totient is φ = 30065143680.

The previous prime is 33864574559. The next prime is 33864574591. The reversal of 33864574561 is 16547546833.

It is not a de Polignac number, because 33864574561 - 2¹ = 33864574559 is a prime.

It is a super-2 number, since 2×33864574561² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33864574499 and 33864574508.

It is not an unprimeable number, because it can be changed into a prime (33864574591) 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 47 ways as a sum of consecutive naturals, for example, 40849495 + ... + 40850323.

It is an arithmetic number, because the mean of its divisors is an integer number (793134720).

Almost surely, 2^33864574561 is an apocalyptic number.

33864574561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33864574561 is a deficient number, since it is larger than the sum of its proper divisors (4205891999).

33864574561 is a wasteful number, since it uses less digits than its factorization.

33864574561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 983 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The spelling of 33864574561 in words is "thirty-three billion, eight hundred sixty-four million, five hundred seventy-four thousand, five hundred sixty-one".