102282826464 has 960 divisors, whose sum is σ = 403665292800. Its totient is φ = 24643325952.

The previous prime is 102282826441. The next prime is 102282826519. The reversal of 102282826464 is 464628282201.

102282826464 is a `hidden beast` number, since 10 + 22 + 82 + 82 + 6 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129965079 + ... + 129965865.

It is an arithmetic number, because the mean of its divisors is an integer number (420484680).

Almost surely, 2^102282826464 is an apocalyptic number.

102282826464 is a gapful number since it is divisible by the number (14) 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 102282826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201832646400).

102282826464 is an abundant number, since it is smaller than the sum of its proper divisors (301382466336).

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

102282826464 is a wasteful number, since it uses less digits than its factorization.

102282826464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 102282826464 in words is "one hundred two billion, two hundred eighty-two million, eight hundred twenty-six thousand, four hundred sixty-four".