820133452944 has 320 divisors, whose sum is σ = 2712369452800. Its totient is φ = 235146240000.

The previous prime is 820133452933. The next prime is 820133452949. The reversal of 820133452944 is 449254331028.

820133452944 is a `hidden beast` number, since 8 + 2 + 0 + 13 + 345 + 294 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 820133452944.

It is not an unprimeable number, because it can be changed into a prime (820133452949) 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, 6445944 + ... + 6571944.

It is an arithmetic number, because the mean of its divisors is an integer number (8476154540).

Almost surely, 2^820133452944 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 820133452944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356184726400).

820133452944 is an abundant number, since it is smaller than the sum of its proper divisors (1892235999856).

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

820133452944 is a wasteful number, since it uses less digits than its factorization.

820133452944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126111 (or 126099 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 820133452944 in words is "eight hundred twenty billion, one hundred thirty-three million, four hundred fifty-two thousand, nine hundred forty-four".