98613144000 has 1344 divisors, whose sum is σ = 432001769472. Its totient is φ = 20984832000.

The previous prime is 98613143999. The next prime is 98613144011. The reversal of 98613144000 is 44131689.

98613144000 is a `hidden beast` number, since 9 + 86 + 131 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 544823910 + ... + 544824090.

It is an arithmetic number, because the mean of its divisors is an integer number (321429888).

Almost surely, 2^98613144000 is an apocalyptic number.

98613144000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98613144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000884736).

98613144000 is an abundant number, since it is smaller than the sum of its proper divisors (333388625472).

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

98613144000 is a wasteful number, since it uses less digits than its factorization.

98613144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 98613144000 its reverse (44131689), we get a palindrome (98657275689).

The spelling of 98613144000 in words is "ninety-eight billion, six hundred thirteen million, one hundred forty-four thousand".