98440896466944 has 624 divisors, whose sum is σ = 290319340147200. Its totient is φ = 32134234374144.

The previous prime is 98440896466943. The next prime is 98440896466987. The reversal of 98440896466944 is 44966469804489.

98440896466944 is a `hidden beast` number, since 9 + 8 + 4 + 408 + 9 + 64 + 66 + 94 + 4 = 666.

It is a super-2 number, since 2×98440896466944² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98440896466943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195707547397 + ... + 195707547899.

It is an arithmetic number, because the mean of its divisors is an integer number (465255352800).

Almost surely, 2^{98440896466944} 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 98440896466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145159670073600).

98440896466944 is an abundant number, since it is smaller than the sum of its proper divisors (191878443680256).

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

98440896466944 is a wasteful number, since it uses less digits than its factorization.

98440896466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 10319560704, while the sum is 81.

The spelling of 98440896466944 in words is "ninety-eight trillion, four hundred forty billion, eight hundred ninety-six million, four hundred sixty-six thousand, nine hundred forty-four".