466330033664 has 80 divisors (see below), whose sum is σ = 1018222459056. Its totient is φ = 211599360000.

The previous prime is 466330033649. The next prime is 466330033679.

466330033664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (466330033649) and next prime (466330033679).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3177914 + ... + 3321414.

Almost surely, 2^466330033664 is an apocalyptic number.

466330033664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466330033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509111229528).

466330033664 is an abundant number, since it is smaller than the sum of its proper divisors (551892425392).

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

466330033664 is a wasteful number, since it uses less digits than its factorization.

466330033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144107 (or 144091 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 44.

It can be divided in two parts, 4663300 and 33664, that added together give a palindrome (4696964).

The spelling of 466330033664 in words is "four hundred sixty-six billion, three hundred thirty million, thirty-three thousand, six hundred sixty-four".