98374449888000 has 4608 divisors, whose sum is σ = 442241205719040. Its totient is φ = 21220392960000.

The previous prime is 98374449887891. The next prime is 98374449888049. The reversal of 98374449888000 is 88894447389.

98374449888000 is a `hidden beast` number, since 98 + 3 + 7 + 44 + 498 + 8 + 8 + 0 + 0 + 0 = 666.

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 98374449888000.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 543505247910 + ... + 543505248090.

It is an arithmetic number, because the mean of its divisors is an integer number (95972483880).

Almost surely, 2^{98374449888000} is an apocalyptic number.

98374449888000 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 98374449888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221120602859520).

98374449888000 is an abundant number, since it is smaller than the sum of its proper divisors (343866755831040).

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

98374449888000 is a wasteful number, since it uses less digits than its factorization.

98374449888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 98374449888000 in words is "ninety-eight trillion, three hundred seventy-four billion, four hundred forty-nine million, eight hundred eighty-eight thousand".