898775849664 has 1512 divisors, whose sum is σ = 3516644581632. Its totient is φ = 222735744000.

The previous prime is 898775849651. The next prime is 898775849677. The reversal of 898775849664 is 466948577898.

898775849664 is a `hidden beast` number, since 8 + 9 + 8 + 77 + 58 + 496 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (898775849651) and next prime (898775849677).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (5852528640) is a multiple of the sum of its prime factors (189).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12658814749 + ... + 12658814819.

It is an arithmetic number, because the mean of its divisors is an integer number (2325823136).

Almost surely, 2^898775849664 is an apocalyptic number.

898775849664 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 898775849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758322290816).

898775849664 is an abundant number, since it is smaller than the sum of its proper divisors (2617868731968).

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

898775849664 is a wasteful number, since it uses less digits than its factorization.

898775849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 125 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 898775849664 in words is "eight hundred ninety-eight billion, seven hundred seventy-five million, eight hundred forty-nine thousand, six hundred sixty-four".