466055353344 has 352 divisors, whose sum is σ = 1436166291456. Its totient is φ = 131622174720.

The previous prime is 466055353331. The next prime is 466055353363. The reversal of 466055353344 is 443353550664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 466055353293 and 466055353302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956992269 + ... + 956992755.

Almost surely, 2^466055353344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466055353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718083145728).

466055353344 is an abundant number, since it is smaller than the sum of its proper divisors (970110938112).

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

466055353344 is a wasteful number, since it uses less digits than its factorization.

466055353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 466055353344 in words is "four hundred sixty-six billion, fifty-five million, three hundred fifty-three thousand, three hundred forty-four".