458996118640 has 80 divisors (see below), whose sum is σ = 1084809853440. Its totient is φ = 180584560640.

The previous prime is 458996118619. The next prime is 458996118739. The reversal of 458996118640 is 46811699854.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191162 + ... + 1528678.

It is an arithmetic number, because the mean of its divisors is an integer number (13560123168).

Almost surely, 2^458996118640 is an apocalyptic number.

458996118640 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 458996118640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542404926720).

458996118640 is an abundant number, since it is smaller than the sum of its proper divisors (625813734800).

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

458996118640 is a wasteful number, since it uses less digits than its factorization.

458996118640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337810 (or 337804 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 458996118640 in words is "four hundred fifty-eight billion, nine hundred ninety-six million, one hundred eighteen thousand, six hundred forty".