282411149215104 has 2048 divisors, whose sum is σ = 1111794647040000. Its totient is φ = 68512097009664.

The previous prime is 282411149215103. The next prime is 282411149215213. The reversal of 282411149215104 is 401512941114282.

282411149215104 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 1 + 1 + 1 + 492 + 151 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 282411149215104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282411149215103) 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, 55169200257 + ... + 55169205375.

It is an arithmetic number, because the mean of its divisors is an integer number (542868480000).

Almost surely, 2^{282411149215104} is an apocalyptic number.

282411149215104 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 282411149215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555897323520000).

282411149215104 is an abundant number, since it is smaller than the sum of its proper divisors (829383497824896).

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

282411149215104 is a wasteful number, since it uses less digits than its factorization.

282411149215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 282411149215104 in words is "two hundred eighty-two trillion, four hundred eleven billion, one hundred forty-nine million, two hundred fifteen thousand, one hundred four".