1314345900 has 144 divisors (see below), whose sum is σ = 4574984960. Its totient is φ = 284601600.

The previous prime is 1314345889. The next prime is 1314345911. The reversal of 1314345900 is 95434131.

It is an interprime number because it is at equal distance from previous prime (1314345889) and next prime (1314345911).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23430 + ... + 56370.

Almost surely, 2^1314345900 is an apocalyptic number.

1314345900 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 1314345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287492480).

1314345900 is an abundant number, since it is smaller than the sum of its proper divisors (3260639060).

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

1314345900 is a wasteful number, since it uses less digits than its factorization.

1314345900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984 (or 32977 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1314345900 is about 36253.9087547812. The cubic root of 1314345900 is about 1095.3928241775.

The spelling of 1314345900 in words is "one billion, three hundred fourteen million, three hundred forty-five thousand, nine hundred".