466545545664 has 224 divisors, whose sum is σ = 1386413280000. Its totient is φ = 137218498560.

The previous prime is 466545545657. The next prime is 466545545677.

466545545664 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×466545545664³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466545545598 and 466545545607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32735212 + ... + 32749460.

It is an arithmetic number, because the mean of its divisors is an integer number (6189345000).

Almost surely, 2^466545545664 is an apocalyptic number.

466545545664 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 466545545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693206640000).

466545545664 is an abundant number, since it is smaller than the sum of its proper divisors (919867734336).

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

466545545664 is a wasteful number, since it uses less digits than its factorization.

466545545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14731 (or 14721 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 60.

The spelling of 466545545664 in words is "four hundred sixty-six billion, five hundred forty-five million, five hundred forty-five thousand, six hundred sixty-four".