816920309352 has 128 divisors (see below), whose sum is σ = 2382293088000. Its totient is φ = 233346887424.

The previous prime is 816920309341. The next prime is 816920309393. The reversal of 816920309352 is 253903029618.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40598398 + ... + 40618514.

It is an arithmetic number, because the mean of its divisors is an integer number (18611664750).

Almost surely, 2^816920309352 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 816920309352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191146544000).

816920309352 is an abundant number, since it is smaller than the sum of its proper divisors (1565372778648).

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

816920309352 is a wasteful number, since it uses less digits than its factorization.

816920309352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25080 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 816920309352 in words is "eight hundred sixteen billion, nine hundred twenty million, three hundred nine thousand, three hundred fifty-two".