48198428460 has 384 divisors, whose sum is σ = 185608550400. Its totient is φ = 10111288320.

The previous prime is 48198428437. The next prime is 48198428479. The reversal of 48198428460 is 6482489184.

It is a happy number.

48198428460 is a `hidden beast` number, since 4 + 81 + 9 + 84 + 28 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48198428397 and 48198428406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8891631 + ... + 8897049.

It is an arithmetic number, because the mean of its divisors is an integer number (483355600).

Almost surely, 2^48198428460 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 48198428460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92804275200).

48198428460 is an abundant number, since it is smaller than the sum of its proper divisors (137410121940).

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

48198428460 is a wasteful number, since it uses less digits than its factorization.

48198428460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48198428460 in words is "forty-eight billion, one hundred ninety-eight million, four hundred twenty-eight thousand, four hundred sixty".