458993667664 has 320 divisors, whose sum is σ = 1137847173120. Its totient is φ = 174928896000.

The previous prime is 458993667661. The next prime is 458993667689. The reversal of 458993667664 is 466766399854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458993667661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603145044 + ... + 603145804.

It is an arithmetic number, because the mean of its divisors is an integer number (3555772416).

Almost surely, 2^458993667664 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 458993667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568923586560).

458993667664 is an abundant number, since it is smaller than the sum of its proper divisors (678853505456).

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

458993667664 is a wasteful number, since it uses less digits than its factorization.

458993667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 73.

The spelling of 458993667664 in words is "four hundred fifty-eight billion, nine hundred ninety-three million, six hundred sixty-seven thousand, six hundred sixty-four".