5146904672352 has 336 divisors, whose sum is σ = 15553248434640. Its totient is φ = 1675304985600.

The previous prime is 5146904672323. The next prime is 5146904672359. The reversal of 5146904672352 is 2532764096415.

It is a happy number.

5146904672352 is a `hidden beast` number, since 5 + 1 + 46 + 90 + 467 + 2 + 3 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146904672359) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 197785102 + ... + 197811122.

It is an arithmetic number, because the mean of its divisors is an integer number (46289429865).

Almost surely, 2^{5146904672352} 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 5146904672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776624217320).

5146904672352 is an abundant number, since it is smaller than the sum of its proper divisors (10406343762288).

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

5146904672352 is a wasteful number, since it uses less digits than its factorization.

5146904672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26249 (or 26226 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5146904672352 in words is "five trillion, one hundred forty-six billion, nine hundred four million, six hundred seventy-two thousand, three hundred fifty-two".