98398368000 has 576 divisors, whose sum is σ = 369295530240. Its totient is φ = 25795584000.

The previous prime is 98398367933. The next prime is 98398368023. The reversal of 98398368000 is 86389389.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52703067 + ... + 52704933.

Almost surely, 2^98398368000 is an apocalyptic number.

98398368000 is a gapful number since it is divisible by the number (90) 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 98398368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184647765120).

98398368000 is an abundant number, since it is smaller than the sum of its proper divisors (270897162240).

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

98398368000 is a wasteful number, since it uses less digits than its factorization.

98398368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 98398368000 in words is "ninety-eight billion, three hundred ninety-eight million, three hundred sixty-eight thousand".