98121401529984 has 512 divisors, whose sum is σ = 345410763264000. Its totient is φ = 26811443957760.

The previous prime is 98121401529979. The next prime is 98121401530001. The reversal of 98121401529984 is 48992510412189.

98121401529984 is a `hidden beast` number, since 9 + 8 + 1 + 2 + 14 + 0 + 1 + 529 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5023870299 + ... + 5023889829.

It is an arithmetic number, because the mean of its divisors is an integer number (674630397000).

Almost surely, 2^{98121401529984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98121401529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172705381632000).

98121401529984 is an abundant number, since it is smaller than the sum of its proper divisors (247289361734016).

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

98121401529984 is a wasteful number, since it uses less digits than its factorization.

98121401529984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28613 (or 28595 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 98121401529984 in words is "ninety-eight trillion, one hundred twenty-one billion, four hundred one million, five hundred twenty-nine thousand, nine hundred eighty-four".