33464123664 has 40 divisors (see below), whose sum is σ = 86591481600. Its totient is φ = 11136321408.

The previous prime is 33464123659. The next prime is 33464123687. The reversal of 33464123664 is 46632146433.

It is a happy number.

It is a super-3 number, since 3×33464123664³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545139 + ... + 603410.

It is an arithmetic number, because the mean of its divisors is an integer number (2164787040).

Almost surely, 2^33464123664 is an apocalyptic number.

It is an amenable number.

33464123664 is an abundant number, since it is smaller than the sum of its proper divisors (53127357936).

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

33464123664 is a wasteful number, since it uses less digits than its factorization.

33464123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149167 (or 1149161 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 33464123664 in words is "thirty-three billion, four hundred sixty-four million, one hundred twenty-three thousand, six hundred sixty-four".