466349488128 has 336 divisors, whose sum is σ = 1446410838600. Its totient is φ = 150075555840.

The previous prime is 466349488109. The next prime is 466349488153. The reversal of 466349488128 is 821884943664.

466349488128 is a `hidden beast` number, since 4 + 6 + 63 + 494 + 8 + 81 + 2 + 8 = 666.

It is a super-2 number, since 2×466349488128² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43291383 + ... + 43302153.

Almost surely, 2^466349488128 is an apocalyptic number.

466349488128 is a gapful number since it is divisible by the number (48) 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 466349488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723205419300).

466349488128 is an abundant number, since it is smaller than the sum of its proper divisors (980061350472).

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

466349488128 is an equidigital number, since it uses as much as digits as its factorization.

466349488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10840 (or 10805 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 466349488128 in words is "four hundred sixty-six billion, three hundred forty-nine million, four hundred eighty-eight thousand, one hundred twenty-eight".