98978828324544 has 672 divisors, whose sum is σ = 341738677862400. Its totient is φ = 27350207539200.

The previous prime is 98978828324491. The next prime is 98978828324569. The reversal of 98978828324544 is 44542382887989.

98978828324544 is a `hidden beast` number, since 9 + 8 + 9 + 7 + 8 + 82 + 83 + 2 + 454 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×98978828324544² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12083847489 + ... + 12083855679.

It is an arithmetic number, because the mean of its divisors is an integer number (508539699200).

Almost surely, 2^{98978828324544} 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 98978828324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170869338931200).

98978828324544 is an abundant number, since it is smaller than the sum of its proper divisors (242759849537856).

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

98978828324544 is a wasteful number, since it uses less digits than its factorization.

98978828324544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10207 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 81.

The spelling of 98978828324544 in words is "ninety-eight trillion, nine hundred seventy-eight billion, eight hundred twenty-eight million, three hundred twenty-four thousand, five hundred forty-four".