816608077425408 has 288 divisors, whose sum is σ = 2275533794806272. Its totient is φ = 259488578764800.

The previous prime is 816608077425379. The next prime is 816608077425409. The reversal of 816608077425408 is 804524770806618.

It is a super-2 number, since 2×816608077425408² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (816608077425409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6223085238 + ... + 6223216458.

It is an arithmetic number, because the mean of its divisors is an integer number (7901159009744).

Almost surely, 2^{816608077425408} 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 816608077425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137766897403136).

816608077425408 is an abundant number, since it is smaller than the sum of its proper divisors (1458925717380864).

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

816608077425408 is a wasteful number, since it uses less digits than its factorization.

816608077425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132451 (or 132437 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 816608077425408 in words is "eight hundred sixteen trillion, six hundred eight billion, seventy-seven million, four hundred twenty-five thousand, four hundred eight".