98311640168448 has 1152 divisors, whose sum is σ = 341871933312000. Its totient is φ = 26634021765120.

The previous prime is 98311640168407. The next prime is 98311640168461. The reversal of 98311640168448 is 84486104611389.

98311640168448 is a `hidden beast` number, since 9 + 83 + 1 + 16 + 40 + 1 + 68 + 448 = 666.

98311640168448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×98311640168448² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 30166196643 + ... + 30166199901.

It is an arithmetic number, because the mean of its divisors is an integer number (296763831000).

Almost surely, 2^{98311640168448} 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 98311640168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170935966656000).

98311640168448 is an abundant number, since it is smaller than the sum of its proper divisors (243560293143552).

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

98311640168448 is a wasteful number, since it uses less digits than its factorization.

98311640168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 98311640168448 in words is "ninety-eight trillion, three hundred eleven billion, six hundred forty million, one hundred sixty-eight thousand, four hundred forty-eight".