479443180336512 has 256 divisors, whose sum is σ = 1472326014074880. Its totient is φ = 135403632322560.

The previous prime is 479443180336511. The next prime is 479443180336573. The reversal of 479443180336512 is 215633081344974.

It is a super-2 number, since 2×479443180336512² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479443180336511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89921673 + ... + 95104119.

It is an arithmetic number, because the mean of its divisors is an integer number (5751273492480).

It is a 1-persistent number, because it is pandigital, but 2⋅479443180336512 = 958886360673024 is not.

Almost surely, 2^{479443180336512} is an apocalyptic number.

479443180336512 is a gapful number since it is divisible by the number (42) 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 479443180336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736163007037440).

479443180336512 is an abundant number, since it is smaller than the sum of its proper divisors (992882833738368).

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

479443180336512 is a wasteful number, since it uses less digits than its factorization.

479443180336512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182869 (or 5182857 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 479443180336512 in words is "four hundred seventy-nine trillion, four hundred forty-three billion, one hundred eighty million, three hundred thirty-six thousand, five hundred twelve".