9914248260 has 768 divisors, whose sum is σ = 39464140800. Its totient is φ = 2015539200.

The previous prime is 9914248237. The next prime is 9914248261. The reversal of 9914248260 is 628424199.

9914248260 is a `hidden beast` number, since 9 + 91 + 424 + 82 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9914248261) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135811584 + ... + 135811656.

It is an arithmetic number, because the mean of its divisors is an integer number (51385600).

Almost surely, 2^9914248260 is an apocalyptic number.

9914248260 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 9914248260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732070400).

9914248260 is an abundant number, since it is smaller than the sum of its proper divisors (29549892540).

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

9914248260 is a wasteful number, since it uses less digits than its factorization.

9914248260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9914248260 is about 99570.3181676146. The cubic root of 9914248260 is about 2148.2587856493.

The spelling of 9914248260 in words is "nine billion, nine hundred fourteen million, two hundred forty-eight thousand, two hundred sixty".