98725256448 has 576 divisors, whose sum is σ = 334051737600. Its totient is φ = 25718611968.

The previous prime is 98725256417. The next prime is 98725256449. The reversal of 98725256448 is 84465252789.

It is a junction number, because it is equal to n+sod(n) for n = 98725256391 and 98725256400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98725256449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434912911 + ... + 434913137.

Almost surely, 2^98725256448 is an apocalyptic number.

98725256448 is a gapful number since it is divisible by the number (98) 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 98725256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167025868800).

98725256448 is an abundant number, since it is smaller than the sum of its proper divisors (235326481152).

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

98725256448 is a wasteful number, since it uses less digits than its factorization.

98725256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 379 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 98725256448 in words is "ninety-eight billion, seven hundred twenty-five million, two hundred fifty-six thousand, four hundred forty-eight".