98458846464 has 288 divisors, whose sum is σ = 290465481600. Its totient is φ = 29360128000.

The previous prime is 98458846463. The next prime is 98458846481. The reversal of 98458846464 is 46464885489.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 98458846395 and 98458846404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98458846463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219284512 + ... + 219284960.

It is an arithmetic number, because the mean of its divisors is an integer number (1008560700).

Almost surely, 2^98458846464 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 98458846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145232740800).

98458846464 is an abundant number, since it is smaller than the sum of its proper divisors (192006635136).

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

98458846464 is a wasteful number, since it uses less digits than its factorization.

98458846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 823 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 66.

The spelling of 98458846464 in words is "ninety-eight billion, four hundred fifty-eight million, eight hundred forty-six thousand, four hundred sixty-four".