98363201126400 has 3072 divisors, whose sum is σ = 450134225280000. Its totient is φ = 20547391979520.

The previous prime is 98363201126363. The next prime is 98363201126423. The reversal of 98363201126400 is 462110236389.

98363201126400 is a `hidden beast` number, since 9 + 8 + 3 + 632 + 0 + 1 + 1 + 2 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85310668224 + ... + 85310669376.

It is an arithmetic number, because the mean of its divisors is an integer number (146528068125).

Almost surely, 2^{98363201126400} is an apocalyptic number.

98363201126400 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 98363201126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225067112640000).

98363201126400 is an abundant number, since it is smaller than the sum of its proper divisors (351771024153600).

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

98363201126400 is a wasteful number, since it uses less digits than its factorization.

98363201126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 98363201126400 in words is "ninety-eight trillion, three hundred sixty-three billion, two hundred one million, one hundred twenty-six thousand, four hundred".