98765143916544 has 1440 divisors, whose sum is σ = 357256875096576. Its totient is φ = 25648756162560.

The previous prime is 98765143916513. The next prime is 98765143916563. The reversal of 98765143916544 is 44561934156789.

98765143916544 is a `hidden beast` number, since 9 + 8 + 7 + 6 + 514 + 3 + 9 + 1 + 65 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 76979846527 + ... + 76979847809.

Almost surely, 2^{98765143916544} 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 98765143916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178628437548288).

98765143916544 is an abundant number, since it is smaller than the sum of its proper divisors (258491731180032).

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

98765143916544 is a wasteful number, since it uses less digits than its factorization.

98765143916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1460 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 98765143916544 in words is "ninety-eight trillion, seven hundred sixty-five billion, one hundred forty-three million, nine hundred sixteen thousand, five hundred forty-four".