1348476768 has 96 divisors (see below), whose sum is σ = 3958506720. Its totient is φ = 446584320.

The previous prime is 1348476751. The next prime is 1348476791. The reversal of 1348476768 is 8676748431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 130678 + ... + 140618.

It is an arithmetic number, because the mean of its divisors is an integer number (41234445).

Almost surely, 2^1348476768 is an apocalyptic number.

1348476768 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 1348476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979253360).

1348476768 is an abundant number, since it is smaller than the sum of its proper divisors (2610029952).

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

1348476768 is a wasteful number, since it uses less digits than its factorization.

1348476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10103 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 1348476768 is about 36721.6117293345. The cubic root of 1348476768 is about 1104.7936165132.

It can be divided in two parts, 13 and 48476768, that added together give a triangular number (48476781 = T₉₈₄₆).

The spelling of 1348476768 in words is "one billion, three hundred forty-eight million, four hundred seventy-six thousand, seven hundred sixty-eight".