486506250000 has 675 divisors, whose sum is σ = 1818721236783. Its totient is φ = 125550000000.

The previous prime is 486506249963. The next prime is 486506250011. The reversal of 486506250000 is 52605684.

The square root of 486506250000 is 697500.

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

486506250000 is a `hidden beast` number, since 48 + 6 + 50 + 62 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345899249424 + 140607000576 = 588132^2 + 374976^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15693749985 + ... + 15693750015.

Almost surely, 2^486506250000 is an apocalyptic number.

486506250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

486506250000 is the 697500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486506250000

486506250000 is an abundant number, since it is smaller than the sum of its proper divisors (1332214986783).

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

486506250000 is an frugal number, since it uses more digits than its factorization.

486506250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 486506250000 by its sum of digits (36), we get a square (17514225000000 = 4185000²).

486506250000 divided by its sum of digits (36) gives a square (13514062500 = 116250²).

Adding to 486506250000 its reverse (52605684), we get a palindrome (486558855684).

The spelling of 486506250000 in words is "four hundred eighty-six billion, five hundred six million, two hundred fifty thousand".