1538271648 has 336 divisors, whose sum is σ = 4918185216. Its totient is φ = 472158720.

The previous prime is 1538271643. The next prime is 1538271649. The reversal of 1538271648 is 8461728351.

1538271648 is a `hidden beast` number, since 1 + 538 + 2 + 71 + 6 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (1538271641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25217538 + ... + 25217598.

It is an arithmetic number, because the mean of its divisors is an integer number (14637456).

Almost surely, 2^1538271648 is an apocalyptic number.

1538271648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1538271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459092608).

1538271648 is an abundant number, since it is smaller than the sum of its proper divisors (3379913568).

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

1538271648 is an equidigital number, since it uses as much as digits as its factorization.

1538271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1538271648 is about 39220.8063150160. The cubic root of 1538271648 is about 1154.3681752630.

Adding to 1538271648 its reverse (8461728351), we get a palindrome (9999999999).

The spelling of 1538271648 in words is "one billion, five hundred thirty-eight million, two hundred seventy-one thousand, six hundred forty-eight".