458766000613242 has 64 divisors (see below), whose sum is σ = 1165710535637760. Its totient is φ = 131009565091392.

The previous prime is 458766000613169. The next prime is 458766000613253. The reversal of 458766000613242 is 242316000667854.

458766000613242 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 6 + 600 + 0 + 6 + 1 + 3 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306823053 + ... + 308314640.

It is an arithmetic number, because the mean of its divisors is an integer number (18214227119340).

Almost surely, 2^{458766000613242} is an apocalyptic number.

458766000613242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

458766000613242 is an abundant number, since it is smaller than the sum of its proper divisors (706944535024518).

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

458766000613242 is a wasteful number, since it uses less digits than its factorization.

458766000613242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615139684 (or 615139678 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 458766000613242 in words is "four hundred fifty-eight trillion, seven hundred sixty-six billion, six hundred thirteen thousand, two hundred forty-two".