33506506016340 has 48 divisors (see below), whose sum is σ = 107220819253632. Its totient is φ = 7658629946496.

The previous prime is 33506506016327. The next prime is 33506506016377. The reversal of 33506506016340 is 4361060560533.

It is a super-2 number, since 2×33506506016340² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 33506506016292 and 33506506016301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39888697219 + ... + 39888698058.

It is an arithmetic number, because the mean of its divisors is an integer number (2233767067784).

Almost surely, 2^{33506506016340} is an apocalyptic number.

33506506016340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33506506016340 is an abundant number, since it is smaller than the sum of its proper divisors (73714313237292).

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

33506506016340 is a wasteful number, since it uses less digits than its factorization.

33506506016340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79777395296 (or 79777395294 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 33506506016340 its reverse (4361060560533), we get a palindrome (37867566576873).

The spelling of 33506506016340 in words is "thirty-three trillion, five hundred six billion, five hundred six million, sixteen thousand, three hundred forty".