1316456064 has 640 divisors, whose sum is σ = 5225109120. Its totient is φ = 318504960.

The previous prime is 1316456023. The next prime is 1316456069. The reversal of 1316456064 is 4606546131.

It is a happy number.

1316456064 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 45 + 606 + 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 (1316456069) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13571664 + ... + 13571760.

It is an arithmetic number, because the mean of its divisors is an integer number (8164233).

Almost surely, 2^1316456064 is an apocalyptic number.

1316456064 is a gapful number since it is divisible by the number (14) 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 1316456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612554560).

1316456064 is an abundant number, since it is smaller than the sum of its proper divisors (3908653056).

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

1316456064 is a wasteful number, since it uses less digits than its factorization.

1316456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1316456064 is about 36282.9996554860. Note that the first 3 decimals coincide. The cubic root of 1316456064 is about 1095.9787233691.

The spelling of 1316456064 in words is "one billion, three hundred sixteen million, four hundred fifty-six thousand, sixty-four".