49284000000 has 567 divisors, whose sum is σ = 182550417231. Its totient is φ = 12787200000.

The previous prime is 49283999987. The next prime is 49284000023. The reversal of 49284000000 is 48294.

The square root of 49284000000 is 222000.

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 49241385216 + 42614784 = 221904^2 + 6528^2 .

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, 1331999982 + ... + 1332000018.

Almost surely, 2^49284000000 is an apocalyptic number.

49284000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49284000000 is the 222000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49284000000

49284000000 is an abundant number, since it is smaller than the sum of its proper divisors (133266417231).

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

49284000000 is an frugal number, since it uses more digits than its factorization.

49284000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 49284000000 by its product of nonzero digits (2304), we get a square (113550336000000 = 10656000²).

49284000000 divided by its product of nonzero digits (2304) gives a square (21390625 = 4625²).

Adding to 49284000000 its reverse (48294), we get a palindrome (49284048294).

The spelling of 49284000000 in words is "forty-nine billion, two hundred eighty-four million", and thus it is an aban number.