5146273731600 has 315 divisors, whose sum is σ = 18541817570919. Its totient is φ = 1372012992000.

The previous prime is 5146273731569. The next prime is 5146273731659. The reversal of 5146273731600 is 61373726415.

The square root of 5146273731600 is 2268540.

It is a perfect power (a square), and thus also a powerful number.

5146273731600 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 2 + 7 + 3 + 7 + 31 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2068522791696 + 3077750939904 = 1438236^2 + 1754352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1225009500 + ... + 1225013700.

Almost surely, 2^{5146273731600} is an apocalyptic number.

5146273731600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5146273731600 is the 2268540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146273731600

5146273731600 is an abundant number, since it is smaller than the sum of its proper divisors (13395543839319).

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

5146273731600 is an frugal number, since it uses more digits than its factorization.

5146273731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 5146273731600 in words is "five trillion, one hundred forty-six billion, two hundred seventy-three million, seven hundred thirty-one thousand, six hundred".