98348347918800 has 1080 divisors, whose sum is σ = 435941578328256. Its totient is φ = 21157274234880.

The previous prime is 98348347918753. The next prime is 98348347918801. The reversal of 98348347918800 is 881974384389.

98348347918800 is a `hidden beast` number, since 9 + 8 + 348 + 34 + 79 + 188 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98348347918801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80360269 + ... + 81574931.

Almost surely, 2^{98348347918800} is an apocalyptic number.

98348347918800 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 98348347918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217970789164128).

98348347918800 is an abundant number, since it is smaller than the sum of its proper divisors (337593230409456).

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

98348347918800 is a wasteful number, since it uses less digits than its factorization.

98348347918800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214727 (or 1214697 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 98348347918800 in words is "ninety-eight trillion, three hundred forty-eight billion, three hundred forty-seven million, nine hundred eighteen thousand, eight hundred".