1315749028608 has 810 divisors, whose sum is σ = 4646285795844. Its totient is φ = 370778591232.

The previous prime is 1315749028591. The next prime is 1315749028613. The reversal of 1315749028608 is 8068209475131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1315749028608 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 7 + 4 + 9 + 0 + 28 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 18023959260 + ... + 18023959332.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1315749028608 = 2631498057216, but 3⋅1315749028608 = 3947247085824 is not.

Almost surely, 2^{1315749028608} is an apocalyptic number.

1315749028608 is a gapful number since it is divisible by the number (18) 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 1315749028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323142897922).

1315749028608 is an abundant number, since it is smaller than the sum of its proper divisors (3330536767236).

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

1315749028608 is an frugal number, since it uses more digits than its factorization.

1315749028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1315749028608 in words is "one trillion, three hundred fifteen billion, seven hundred forty-nine million, twenty-eight thousand, six hundred eight".