98311942144000 has 512 divisors, whose sum is σ = 264661660972800. Its totient is φ = 36244448870400.

The previous prime is 98311942143979. The next prime is 98311942144027. The reversal of 98311942144000 is 44124911389.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55324671112 + ... + 55324672888.

Almost surely, 2^{98311942144000} 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 98311942144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132330830486400).

98311942144000 is an abundant number, since it is smaller than the sum of its proper divisors (166349718828800).

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

98311942144000 is a wasteful number, since it uses less digits than its factorization.

98311942144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 98311942144000 in words is "ninety-eight trillion, three hundred eleven billion, nine hundred forty-two million, one hundred forty-four thousand".