1345718095488 has 640 divisors, whose sum is σ = 4462077312000. Its totient is φ = 399978528768.

The previous prime is 1345718095451. The next prime is 1345718095523. The reversal of 1345718095488 is 8845908175431.

1345718095488 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 7 + 1 + 80 + 9 + 548 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 500451648 + ... + 500454336.

It is an arithmetic number, because the mean of its divisors is an integer number (6971995800).

Almost surely, 2^{1345718095488} is an apocalyptic number.

1345718095488 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 1345718095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231038656000).

1345718095488 is an abundant number, since it is smaller than the sum of its proper divisors (3116359216512).

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

1345718095488 is a wasteful number, since it uses less digits than its factorization.

1345718095488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 1345718095488 in words is "one trillion, three hundred forty-five billion, seven hundred eighteen million, ninety-five thousand, four hundred eighty-eight".