1315590648064 has 567 divisors, whose sum is σ = 3554119444071. Its totient is φ = 485590533120.

The previous prime is 1315590648013. The next prime is 1315590648079. The reversal of 1315590648064 is 4608460955131.

It is a happy number.

The square root of 1315590648064 is 1146992.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 69241613047 + ... + 69241613065.

Almost surely, 2^{1315590648064} is an apocalyptic number.

1315590648064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1315590648064 is the 1146992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315590648064

1315590648064 is an abundant number, since it is smaller than the sum of its proper divisors (2238528796007).

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

1315590648064 is an frugal number, since it uses more digits than its factorization.

1315590648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 1315590648064 in words is "one trillion, three hundred fifteen billion, five hundred ninety million, six hundred forty-eight thousand, sixty-four".