98368550496000 has 1152 divisors, whose sum is σ = 368170603557120. Its totient is φ = 25862602752000.

The previous prime is 98368550495977. The next prime is 98368550496017. The reversal of 98368550496000 is 69405586389.

98368550496000 is a `hidden beast` number, since 9 + 8 + 3 + 68 + 5 + 504 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23550045912 + ... + 23550050088.

It is an arithmetic number, because the mean of its divisors is an integer number (319592537810).

Almost surely, 2^{98368550496000} is an apocalyptic number.

98368550496000 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 98368550496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184085301778560).

98368550496000 is an abundant number, since it is smaller than the sum of its proper divisors (269802053061120).

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

98368550496000 is a wasteful number, since it uses less digits than its factorization.

98368550496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 98368550496000 in words is "ninety-eight trillion, three hundred sixty-eight billion, five hundred fifty million, four hundred ninety-six thousand".