1348742816 has 96 divisors (see below), whose sum is σ = 2985776640. Its totient is φ = 596623104.

The previous prime is 1348742803. The next prime is 1348742819. The reversal of 1348742816 is 6182478431.

It is not an unprimeable number, because it can be changed into a prime (1348742819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600191 + ... + 602433.

It is an arithmetic number, because the mean of its divisors is an integer number (31101840).

Almost surely, 2^1348742816 is an apocalyptic number.

1348742816 is a gapful number since it is divisible by the number (16) 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 1348742816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888320).

1348742816 is an abundant number, since it is smaller than the sum of its proper divisors (1637033824).

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

1348742816 is a wasteful number, since it uses less digits than its factorization.

1348742816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2330 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 1348742816 is about 36725.2340496286. The cubic root of 1348742816 is about 1104.8662685631.

The spelling of 1348742816 in words is "one billion, three hundred forty-eight million, seven hundred forty-two thousand, eight hundred sixteen".