820362133248 has 576 divisors, whose sum is σ = 2635955481600. Its totient is φ = 226276098048.

The previous prime is 820362133247. The next prime is 820362133307. The reversal of 820362133248 is 842331263028.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820362133247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935418186 + ... + 935419062.

It is an arithmetic number, because the mean of its divisors is an integer number (4576311600).

Almost surely, 2^820362133248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820362133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317977740800).

820362133248 is an abundant number, since it is smaller than the sum of its proper divisors (1815593348352).

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

820362133248 is an equidigital number, since it uses as much as digits as its factorization.

820362133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 820362133248 in words is "eight hundred twenty billion, three hundred sixty-two million, one hundred thirty-three thousand, two hundred forty-eight".