33460673646664 has 64 divisors (see below), whose sum is σ = 72650844984960. Its totient is φ = 14278669194240.

The previous prime is 33460673646641. The next prime is 33460673646691. The reversal of 33460673646664 is 46664637606433.

It is a super-2 number, since 2×33460673646664² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33460673646596 and 33460673646605.

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, 27575812 + ... + 28763635.

It is an arithmetic number, because the mean of its divisors is an integer number (1135169452890).

Almost surely, 2^{33460673646664} is an apocalyptic number.

33460673646664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

33460673646664 is an abundant number, since it is smaller than the sum of its proper divisors (39190171338296).

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

33460673646664 is a wasteful number, since it uses less digits than its factorization.

33460673646664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56339878 (or 56339874 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 64.

The spelling of 33460673646664 in words is "thirty-three trillion, four hundred sixty billion, six hundred seventy-three million, six hundred forty-six thousand, six hundred sixty-four".