1314522880 has 144 divisors (see below), whose sum is σ = 3476844000. Its totient is φ = 472186880.

The previous prime is 1314522863. The next prime is 1314522883. The reversal of 1314522880 is 882254131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314522883) by changing a digit.

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, 1252596 + ... + 1253644.

It is an arithmetic number, because the mean of its divisors is an integer number (24144750).

Almost surely, 2^1314522880 is an apocalyptic number.

1314522880 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 1314522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738422000).

1314522880 is an abundant number, since it is smaller than the sum of its proper divisors (2162321120).

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

1314522880 is a wasteful number, since it uses less digits than its factorization.

1314522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1314522880 is about 36256.3495128784. The cubic root of 1314522880 is about 1095.4419877757.

The spelling of 1314522880 in words is "one billion, three hundred fourteen million, five hundred twenty-two thousand, eight hundred eighty".