466158242851664 has 120 divisors (see below), whose sum is σ = 1001884409121960. Its totient is φ = 209942495150080.

The previous prime is 466158242851621. The next prime is 466158242851667.

466158242851664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 24238804117264 + 441919438734400 = 4923292^2 + 21021880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 466158242851594 and 466158242851603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466158242851667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636029864 + ... + 636762360.

It is an arithmetic number, because the mean of its divisors is an integer number (8349036742683).

Almost surely, 2^{466158242851664} is an apocalyptic number.

466158242851664 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 466158242851664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500942204560980).

466158242851664 is an abundant number, since it is smaller than the sum of its proper divisors (535726166270296).

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

466158242851664 is a wasteful number, since it uses less digits than its factorization.

466158242851664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735549 (or 735532 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 68.

The spelling of 466158242851664 in words is "four hundred sixty-six trillion, one hundred fifty-eight billion, two hundred forty-two million, eight hundred fifty-one thousand, six hundred sixty-four".