5146229546640 has 1280 divisors, whose sum is σ = 22226844057600. Its totient is φ = 1065548390400.

The previous prime is 5146229546609. The next prime is 5146229546669. The reversal of 5146229546640 is 466459226415.

5146229546640 is a `hidden beast` number, since 5 + 1 + 4 + 622 + 9 + 5 + 4 + 6 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2810610525 + ... + 2810612355.

It is an arithmetic number, because the mean of its divisors is an integer number (17364721920).

Almost surely, 2^{5146229546640} 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 5146229546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113422028800).

5146229546640 is an abundant number, since it is smaller than the sum of its proper divisors (17080614510960).

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

5146229546640 is a wasteful number, since it uses less digits than its factorization.

5146229546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 5146229546640 in words is "five trillion, one hundred forty-six billion, two hundred twenty-nine million, five hundred forty-six thousand, six hundred forty".