4937284000000 has 567 divisors, whose sum is σ = 13676051291959. Its totient is φ = 1777600000000.

The previous prime is 4937283999961. The next prime is 4937284000001. The reversal of 4937284000000 is 4827394.

It is a happy number.

The square root of 4937284000000 is 2222000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 4811389606144 + 125894393856 = 2193488^2 + 354816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4937284000001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 48883999950 + ... + 48884000050.

Almost surely, 2^{4937284000000} is an apocalyptic number.

4937284000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4937284000000 is the 2222000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4937284000000

4937284000000 is an abundant number, since it is smaller than the sum of its proper divisors (8738767291959).

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

4937284000000 is an frugal number, since it uses more digits than its factorization.

4937284000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 4937284000000 its reverse (4827394), we get a palindrome (4937288827394).

The spelling of 4937284000000 in words is "four trillion, nine hundred thirty-seven billion, two hundred eighty-four million", and thus it is an aban number.