845228786688 has 528 divisors, whose sum is σ = 2875091611392. Its totient is φ = 235782144000.

The previous prime is 845228786683. The next prime is 845228786707. The reversal of 845228786688 is 886687822548.

It is a happy number.

845228786688 is a `hidden beast` number, since 8 + 452 + 28 + 78 + 6 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (845228786683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686619033 + ... + 686620263.

It is an arithmetic number, because the mean of its divisors is an integer number (5445249264).

Almost surely, 2^845228786688 is an apocalyptic number.

845228786688 is a gapful number since it is divisible by the number (88) 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 845228786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437545805696).

845228786688 is an abundant number, since it is smaller than the sum of its proper divisors (2029862824704).

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

845228786688 is a wasteful number, since it uses less digits than its factorization.

845228786688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1781 counting only the distinct ones).

The product of its digits is 660602880, while the sum is 72.

The spelling of 845228786688 in words is "eight hundred forty-five billion, two hundred twenty-eight million, seven hundred eighty-six thousand, six hundred eighty-eight".