898948399104000 has 2592 divisors, whose sum is σ = 3914562013427520. Its totient is φ = 205473919795200.

The previous prime is 898948399103971. The next prime is 898948399104043. The reversal of 898948399104000 is 401993849898.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 8! ⋅ 4! ⋅ (2!)⁸.

898948399104000 is a `hidden beast` number, since 8 + 9 + 8 + 9 + 483 + 99 + 10 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a self number, because there is not a number n which added to its sum of digits gives 898948399104000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128421199871997 + ... + 128421199872003.

Almost surely, 2^{898948399104000} is an apocalyptic number.

898948399104000 is a gapful number since it is divisible by the number (80) 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 898948399104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957281006713760).

898948399104000 is an abundant number, since it is smaller than the sum of its proper divisors (3015613614323520).

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

898948399104000 is an frugal number, since it uses more digits than its factorization.

898948399104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 898948399104000 in words is "eight hundred ninety-eight trillion, nine hundred forty-eight billion, three hundred ninety-nine million, one hundred four thousand".