458864053920000 has 4320 divisors, whose sum is σ = 1907790351667200. Its totient is φ = 109442285568000.

The previous prime is 458864053919951. The next prime is 458864053920007. The reversal of 458864053920000 is 29350468854.

458864053920000 is a `hidden beast` number, since 4 + 5 + 8 + 86 + 4 + 0 + 539 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is not an unprimeable number, because it can be changed into a prime (458864053920007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1919933279881 + ... + 1919933280119.

It is an arithmetic number, because the mean of its divisors is an integer number (441618136960).

Almost surely, 2^{458864053920000} is an apocalyptic number.

458864053920000 is a gapful number since it is divisible by the number (40) 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 458864053920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953895175833600).

458864053920000 is an abundant number, since it is smaller than the sum of its proper divisors (1448926297747200).

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

458864053920000 is a wasteful number, since it uses less digits than its factorization.

458864053920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 458864053920000 in words is "four hundred fifty-eight trillion, eight hundred sixty-four billion, fifty-three million, nine hundred twenty thousand".