1315314008064 has 1224 divisors, whose sum is σ = 4953099690240. Its totient is φ = 340545503232.

The previous prime is 1315314008027. The next prime is 1315314008101. The reversal of 1315314008064 is 4608004135131.

1315314008064 is a `hidden beast` number, since 1 + 3 + 1 + 531 + 40 + 0 + 80 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1315314008027) and next prime (1315314008101).

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 71 ways as a sum of consecutive naturals, for example, 57187565557 + ... + 57187565579.

Almost surely, 2^{1315314008064} is an apocalyptic number.

1315314008064 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 1315314008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476549845120).

1315314008064 is an abundant number, since it is smaller than the sum of its proper divisors (3637785682176).

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

1315314008064 is an frugal number, since it uses more digits than its factorization.

1315314008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1315314008064 in words is "one trillion, three hundred fifteen billion, three hundred fourteen million, eight thousand, sixty-four".