817203111121152 has 1440 divisors, whose sum is σ = 2972522653900800. Its totient is φ = 218115632480256.

The previous prime is 817203111121129. The next prime is 817203111121169. The reversal of 817203111121152 is 251121111302718.

817203111121152 is a `hidden beast` number, since 8 + 1 + 72 + 0 + 311 + 1 + 121 + 152 = 666.

817203111121152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67890922878 + ... + 67890934914.

Almost surely, 2^{817203111121152} 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 817203111121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486261326950400).

817203111121152 is an abundant number, since it is smaller than the sum of its proper divisors (2155319542779648).

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

817203111121152 is a wasteful number, since it uses less digits than its factorization.

817203111121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12410 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 36.

The spelling of 817203111121152 in words is "eight hundred seventeen trillion, two hundred three billion, one hundred eleven million, one hundred twenty-one thousand, one hundred fifty-two".