816409808956272 has 320 divisors, whose sum is σ = 2302805296742400. Its totient is φ = 248286870881280.

The previous prime is 816409808956211. The next prime is 816409808956283. The reversal of 816409808956272 is 272659808904618.

816409808956272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 816409808956194 and 816409808956203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10290883518 + ... + 10290962850.

It is an arithmetic number, because the mean of its divisors is an integer number (7196266552320).

Almost surely, 2^{816409808956272} 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 816409808956272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151402648371200).

816409808956272 is an abundant number, since it is smaller than the sum of its proper divisors (1486395487786128).

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

816409808956272 is a wasteful number, since it uses less digits than its factorization.

816409808956272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81156 (or 81150 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 75.

The spelling of 816409808956272 in words is "eight hundred sixteen trillion, four hundred nine billion, eight hundred eight million, nine hundred fifty-six thousand, two hundred seventy-two".