1314505764 has 216 divisors, whose sum is σ = 3985275840. Its totient is φ = 362862720.

The previous prime is 1314505757. The next prime is 1314505769. The reversal of 1314505764 is 4675054131.

1314505764 is a `hidden beast` number, since 1 + 31 + 4 + 50 + 576 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1314505769) 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 71 ways as a sum of consecutive naturals, for example, 7871209 + ... + 7871375.

Almost surely, 2^1314505764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314505764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992637920).

1314505764 is an abundant number, since it is smaller than the sum of its proper divisors (2670770076).

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

1314505764 is a wasteful number, since it uses less digits than its factorization.

1314505764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1314505764 is about 36256.1134706962. The cubic root of 1314505764 is about 1095.4372332835.

Adding to 1314505764 its reverse (4675054131), we get a palindrome (5989559895).

The spelling of 1314505764 in words is "one billion, three hundred fourteen million, five hundred five thousand, seven hundred sixty-four".