898759217664 has 1280 divisors, whose sum is σ = 3436494336000. Its totient is φ = 225200701440.

The previous prime is 898759217663. The next prime is 898759217677. The reversal of 898759217664 is 466712957898.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 898759217592 and 898759217601.

It is not an unprimeable number, because it can be changed into a prime (898759217663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5021001127 + ... + 5021001305.

It is an arithmetic number, because the mean of its divisors is an integer number (2684761200).

Almost surely, 2^898759217664 is an apocalyptic number.

898759217664 is a gapful number since it is divisible by the number (84) 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 898759217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718247168000).

898759217664 is an abundant number, since it is smaller than the sum of its proper divisors (2537735118336).

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

898759217664 is a wasteful number, since it uses less digits than its factorization.

898759217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 898759217664 in words is "eight hundred ninety-eight billion, seven hundred fifty-nine million, two hundred seventeen thousand, six hundred sixty-four".