1314413632 has 168 divisors, whose sum is σ = 3192399000. Its totient is φ = 534675456.

The previous prime is 1314413579. The next prime is 1314413651. The reversal of 1314413632 is 2363144131.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 1280494656 = 5824^2 + 35784^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1314413632.

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, 8821494 + ... + 8821642.

It is an arithmetic number, because the mean of its divisors is an integer number (19002375).

Almost surely, 2^1314413632 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 1314413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596199500).

1314413632 is an abundant number, since it is smaller than the sum of its proper divisors (1877985368).

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

1314413632 is a wasteful number, since it uses less digits than its factorization.

1314413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 1314413632 is about 36254.8428765041. The cubic root of 1314413632 is about 1095.4116400951.

Adding to 1314413632 its reverse (2363144131), we get a palindrome (3677557763).

The spelling of 1314413632 in words is "one billion, three hundred fourteen million, four hundred thirteen thousand, six hundred thirty-two".