282061209466464 has 384 divisors, whose sum is σ = 812737323611136. Its totient is φ = 85393330176000.

The previous prime is 282061209466459. The next prime is 282061209466493. The reversal of 282061209466464 is 464664902160282.

It is a junction number, because it is equal to n+sod(n) for n = 282061209466398 and 282061209466407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093720894 + ... + 1093978754.

It is an arithmetic number, because the mean of its divisors is an integer number (2116503446904).

Almost surely, 2^{282061209466464} is an apocalyptic number.

282061209466464 is a gapful number since it is divisible by the number (24) 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 282061209466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406368661805568).

282061209466464 is an abundant number, since it is smaller than the sum of its proper divisors (530676114144672).

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

282061209466464 is a wasteful number, since it uses less digits than its factorization.

282061209466464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258262 (or 258254 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 282061209466464 in words is "two hundred eighty-two trillion, sixty-one billion, two hundred nine million, four hundred sixty-six thousand, four hundred sixty-four".