1348413696 has 432 divisors, whose sum is σ = 4871260800. Its totient is φ = 359976960.

The previous prime is 1348413653. The next prime is 1348413719. The reversal of 1348413696 is 6963148431.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (373248) is a multiple of the sum of its prime divisors (72).

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 47 ways as a sum of consecutive naturals, for example, 43497201 + ... + 43497231.

Almost surely, 2^1348413696 is an apocalyptic number.

1348413696 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 1348413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435630400).

1348413696 is an abundant number, since it is smaller than the sum of its proper divisors (3522847104).

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

1348413696 is an equidigital number, since it uses as much as digits as its factorization.

1348413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1348413696 is about 36720.7529334571. The cubic root of 1348413696 is about 1104.7763914904.

The spelling of 1348413696 in words is "one billion, three hundred forty-eight million, four hundred thirteen thousand, six hundred ninety-six".