1314745920 has 168 divisors, whose sum is σ = 4539959424. Its totient is φ = 349221888.

The previous prime is 1314745919. The next prime is 1314745933. The reversal of 1314745920 is 295474131.

1314745920 is a `hidden beast` number, since 131 + 474 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883417 + ... + 884903.

It is an arithmetic number, because the mean of its divisors is an integer number (27023568).

Almost surely, 2^1314745920 is an apocalyptic number.

1314745920 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 1314745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269979712).

1314745920 is an abundant number, since it is smaller than the sum of its proper divisors (3225213504).

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

1314745920 is a wasteful number, since it uses less digits than its factorization.

1314745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1314745920 is about 36259.4252574417. The cubic root of 1314745920 is about 1095.5039401813.

The spelling of 1314745920 in words is "one billion, three hundred fourteen million, seven hundred forty-five thousand, nine hundred twenty".