98064261248 has 72 divisors (see below), whose sum is σ = 198219497565. Its totient is φ = 48325319680.

The previous prime is 98064261203. The next prime is 98064261283. The reversal of 98064261248 is 84216246089.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 87658629184 + 10405632064 = 296072^2 + 102008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=221432.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98064261196 and 98064261205.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 315319013 + ... + 315319323.

Almost surely, 2^98064261248 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 98064261248

98064261248 is an abundant number, since it is smaller than the sum of its proper divisors (100155236317).

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

98064261248 is an frugal number, since it uses more digits than its factorization.

98064261248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

Multiplying 98064261248 by its sum of digits (50), we get a square (4903213062400 = 2214320²).

The spelling of 98064261248 in words is "ninety-eight billion, sixty-four million, two hundred sixty-one thousand, two hundred forty-eight".