98711585856 has 567 divisors, whose sum is σ = 329567582799. Its totient is φ = 28231317504.

The previous prime is 98711585809. The next prime is 98711585857. The reversal of 98711585856 is 65858511789.

The square root of 98711585856 is 314184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2561979456 + 96149606400 = 50616^2 + 310080^2 .

Its product of digits (24192000) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 98711585793 and 98711585802.

It is not an unprimeable number, because it can be changed into a prime (98711585857) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1862482726 + ... + 1862482778.

Almost surely, 2^98711585856 is an apocalyptic number.

98711585856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98711585856 is the 314184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98711585856

98711585856 is an abundant number, since it is smaller than the sum of its proper divisors (230855996943).

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

98711585856 is a wasteful number, since it uses less digits than its factorization.

98711585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 90 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 63.

The spelling of 98711585856 in words is "ninety-eight billion, seven hundred eleven million, five hundred eighty-five thousand, eight hundred fifty-six".