1314214000 has 320 divisors, whose sum is σ = 3743760384. Its totient is φ = 441600000.

The previous prime is 1314213991. The next prime is 1314214001. The reversal of 1314214000 is 4124131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314214001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27961977 + ... + 27962023.

Almost surely, 2^1314214000 is an apocalyptic number.

1314214000 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 1314214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871880192).

1314214000 is an abundant number, since it is smaller than the sum of its proper divisors (2429546384).

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

1314214000 is a wasteful number, since it uses less digits than its factorization.

1314214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1314214000 is about 36252.0895949461. The cubic root of 1314214000 is about 1095.3561805647.

Adding to 1314214000 its reverse (4124131), we get a palindrome (1318338131).

The spelling of 1314214000 in words is "one billion, three hundred fourteen million, two hundred fourteen thousand".