458745269960640 has 224 divisors, whose sum is σ = 1568694033446400. Its totient is φ = 112911971291136.

The previous prime is 458745269960591. The next prime is 458745269960651. The reversal of 458745269960640 is 46069962547854.

It is a super-2 number, since 2×458745269960640² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140647167 + ... + 143871873.

It is an arithmetic number, because the mean of its divisors is an integer number (7003098363600).

Almost surely, 2^{458745269960640} is an apocalyptic number.

458745269960640 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 458745269960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784347016723200).

458745269960640 is an abundant number, since it is smaller than the sum of its proper divisors (1109948763485760).

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

458745269960640 is a wasteful number, since it uses less digits than its factorization.

458745269960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236139 (or 3236129 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 75.

The spelling of 458745269960640 in words is "four hundred fifty-eight trillion, seven hundred forty-five billion, two hundred sixty-nine million, nine hundred sixty thousand, six hundred forty".