538746303670848 has 560 divisors, whose sum is σ = 1966088036222464. Its totient is φ = 142048349982720.

The previous prime is 538746303670819. The next prime is 538746303670849. The reversal of 538746303670848 is 848076303647835.

It is a happy number.

538746303670848 is a `hidden beast` number, since 5 + 3 + 87 + 463 + 0 + 3 + 6 + 7 + 0 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (538746303670849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1758036678 + ... + 1758343098.

Almost surely, 2^{538746303670848} 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 538746303670848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983044018111232).

538746303670848 is an abundant number, since it is smaller than the sum of its proper divisors (1427341732551616).

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

538746303670848 is a wasteful number, since it uses less digits than its factorization.

538746303670848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310192 (or 310173 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 538746303670848 in words is "five hundred thirty-eight trillion, seven hundred forty-six billion, three hundred three million, six hundred seventy thousand, eight hundred forty-eight".