491728635552 has 1152 divisors, whose sum is σ = 1799934732288. Its totient is φ = 114057216000.

The previous prime is 491728635547. The next prime is 491728635571. The reversal of 491728635552 is 255536827194.

491728635552 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 491728635492 and 491728635501.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4868600302 + ... + 4868600402.

It is an arithmetic number, because the mean of its divisors is an integer number (1562443344).

Almost surely, 2^491728635552 is an apocalyptic number.

491728635552 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 491728635552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899967366144).

491728635552 is an abundant number, since it is smaller than the sum of its proper divisors (1308206096736).

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

491728635552 is a wasteful number, since it uses less digits than its factorization.

491728635552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 57.

The spelling of 491728635552 in words is "four hundred ninety-one billion, seven hundred twenty-eight million, six hundred thirty-five thousand, five hundred fifty-two".