485872351071744 has 2560 divisors, whose sum is σ = 1809445788057600. Its totient is φ = 112101005721600.

The previous prime is 485872351071743. The next prime is 485872351071749. The reversal of 485872351071744 is 447170153278584.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485872351071743) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 579108880477 + ... + 579108881315.

It is an arithmetic number, because the mean of its divisors is an integer number (706814760960).

Almost surely, 2^{485872351071744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485872351071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904722894028800).

485872351071744 is an abundant number, since it is smaller than the sum of its proper divisors (1323573436985856).

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

485872351071744 is a wasteful number, since it uses less digits than its factorization.

485872351071744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 210739200, while the sum is 66.

The spelling of 485872351071744 in words is "four hundred eighty-five trillion, eight hundred seventy-two billion, three hundred fifty-one million, seventy-one thousand, seven hundred forty-four".