1585221948 has 48 divisors (see below), whose sum is σ = 4114620160. Its totient is φ = 527792112.

The previous prime is 1585221923. The next prime is 1585221959. The reversal of 1585221948 is 8491225851.

1585221948 is a `hidden beast` number, since 1 + 585 + 2 + 21 + 9 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89865 + ... + 106047.

Almost surely, 2^1585221948 is an apocalyptic number.

1585221948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1585221948 is an abundant number, since it is smaller than the sum of its proper divisors (2529398212).

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

1585221948 is a wasteful number, since it uses less digits than its factorization.

1585221948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17095 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1585221948 is about 39814.8458241395. The cubic root of 1585221948 is about 1165.9950110950.

The spelling of 1585221948 in words is "one billion, five hundred eighty-five million, two hundred twenty-one thousand, nine hundred forty-eight".