1438152768 has 168 divisors, whose sum is σ = 4472559000. Its totient is φ = 439197696.

The previous prime is 1438152719. The next prime is 1438152811. The reversal of 1438152768 is 8672518341.

1438152768 is a `hidden beast` number, since 1 + 43 + 81 + 527 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31002624 + 1407150144 = 5568^2 + 37512^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1115068 + ... + 1116356.

It is an arithmetic number, because the mean of its divisors is an integer number (26622375).

Almost surely, 2^1438152768 is an apocalyptic number.

1438152768 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 1438152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236279500).

1438152768 is an abundant number, since it is smaller than the sum of its proper divisors (3034406232).

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

1438152768 is a wasteful number, since it uses less digits than its factorization.

1438152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1456 counting only the distinct ones).

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

The square root of 1438152768 is about 37922.9846926636. The cubic root of 1438152768 is about 1128.7601636300.

The spelling of 1438152768 in words is "one billion, four hundred thirty-eight million, one hundred fifty-two thousand, seven hundred sixty-eight".