817997419008 has 1600 divisors, whose sum is σ = 3218437221120. Its totient is φ = 202330275840.

The previous prime is 817997418949. The next prime is 817997419103. The reversal of 817997419008 is 800914799718.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 11205444060 + ... + 11205444132.

Almost surely, 2^817997419008 is an apocalyptic number.

817997419008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817997419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609218610560).

817997419008 is an abundant number, since it is smaller than the sum of its proper divisors (2400439802112).

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

817997419008 is an equidigital number, since it uses as much as digits as its factorization.

817997419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 817997419008 in words is "eight hundred seventeen billion, nine hundred ninety-seven million, four hundred nineteen thousand, eight".