98715988390464 has 567 divisors, whose sum is σ = 295153883674923. Its totient is φ = 31544630267904.

The previous prime is 98715988390429. The next prime is 98715988390507. The reversal of 98715988390464 is 46409388951789.

The square root of 98715988390464 is 9935592.

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

98715988390464 is a `hidden beast` number, since 9 + 8 + 71 + 5 + 9 + 8 + 83 + 9 + 0 + 464 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8435585830464 + 90280402560000 = 2904408^2 + 9501600^2 .

It is a super-2 number, since 2×98715988390464² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 922579330699 + ... + 922579330805.

Almost surely, 2^{98715988390464} is an apocalyptic number.

98715988390464 is the 9935592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98715988390464

98715988390464 is an abundant number, since it is smaller than the sum of its proper divisors (196437895284459).

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

98715988390464 is an equidigital number, since it uses as much as digits as its factorization.

98715988390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 98715988390464 in words is "ninety-eight trillion, seven hundred fifteen billion, nine hundred eighty-eight million, three hundred ninety thousand, four hundred sixty-four".