1314617472 has 256 divisors, whose sum is σ = 4528800000. Its totient is φ = 375266304.

The previous prime is 1314617471. The next prime is 1314617483. The reversal of 1314617472 is 2747164131.

1314617472 is a `hidden beast` number, since 1 + 31 + 4 + 617 + 4 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1314617471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184854 + ... + 1185962.

It is an arithmetic number, because the mean of its divisors is an integer number (17690625).

Almost surely, 2^1314617472 is an apocalyptic number.

1314617472 is a gapful number since it is divisible by the number (12) 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 1314617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264400000).

1314617472 is an abundant number, since it is smaller than the sum of its proper divisors (3214182528).

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

1314617472 is an equidigital number, since it uses as much as digits as its factorization.

1314617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1121 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 1314617472 is about 36257.6539781603. The cubic root of 1314617472 is about 1095.4682628511.

The spelling of 1314617472 in words is "one billion, three hundred fourteen million, six hundred seventeen thousand, four hundred seventy-two".