98226732240 has 320 divisors, whose sum is σ = 416415014400. Its totient is φ = 20724719616.

The previous prime is 98226732223. The next prime is 98226732251. The reversal of 98226732240 is 4223762289.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53305 + ... + 446424.

It is an arithmetic number, because the mean of its divisors is an integer number (1301296920).

Almost surely, 2^98226732240 is an apocalyptic number.

98226732240 is a gapful number since it is divisible by the number (90) 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 98226732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208207507200).

98226732240 is an abundant number, since it is smaller than the sum of its proper divisors (318188282160).

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

98226732240 is a wasteful number, since it uses less digits than its factorization.

98226732240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499771 (or 499759 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 98226732240 in words is "ninety-eight billion, two hundred twenty-six million, seven hundred thirty-two thousand, two hundred forty".