506654094346848 has 288 divisors, whose sum is σ = 1650998329344000. Its totient is φ = 144374140247040.

The previous prime is 506654094346781. The next prime is 506654094346859. The reversal of 506654094346848 is 848643490456605.

It is a happy number.

506654094346848 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 540 + 9 + 4 + 34 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2638741153 + ... + 2638933151.

It is an arithmetic number, because the mean of its divisors is an integer number (5732633088000).

Almost surely, 2^{506654094346848} 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 506654094346848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825499164672000).

506654094346848 is an abundant number, since it is smaller than the sum of its proper divisors (1144344234997152).

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

506654094346848 is a wasteful number, since it uses less digits than its factorization.

506654094346848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195490 (or 195479 counting only the distinct ones).

The product of its (nonzero) digits is 2388787200, while the sum is 72.

The spelling of 506654094346848 in words is "five hundred six trillion, six hundred fifty-four billion, ninety-four million, three hundred forty-six thousand, eight hundred forty-eight".