1348814000 has 80 divisors (see below), whose sum is σ = 3453368256. Its totient is φ = 507776000.

The previous prime is 1348813979. The next prime is 1348814029. The reversal of 1348814000 is 4188431.

It is a tau number, because it is divible by the number of its divisors (80).

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, 14165 + ... + 53835.

Almost surely, 2^1348814000 is an apocalyptic number.

1348814000 is a gapful number since it is divisible by the number (10) 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 1348814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726684128).

1348814000 is an abundant number, since it is smaller than the sum of its proper divisors (2104554256).

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

1348814000 is a wasteful number, since it uses less digits than its factorization.

1348814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39711 (or 39695 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1348814000 is about 36726.2031797462. The cubic root of 1348814000 is about 1104.8857057792.

The spelling of 1348814000 in words is "one billion, three hundred forty-eight million, eight hundred fourteen thousand".