817281343800 has 384 divisors, whose sum is σ = 2850149721600. Its totient is φ = 215239495680.

The previous prime is 817281343799. The next prime is 817281343819. The reversal of 817281343800 is 8343182718.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203961397 + ... + 203965403.

It is an arithmetic number, because the mean of its divisors is an integer number (7422264900).

Almost surely, 2^817281343800 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 817281343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425074860800).

817281343800 is an abundant number, since it is smaller than the sum of its proper divisors (2032868377800).

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

817281343800 is a wasteful number, since it uses less digits than its factorization.

817281343800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 817281343800 in words is "eight hundred seventeen billion, two hundred eighty-one million, three hundred forty-three thousand, eight hundred".