1345257934848 has 312 divisors, whose sum is σ = 3987152859456. Its totient is φ = 436867891200.

The previous prime is 1345257934841. The next prime is 1345257934877. The reversal of 1345257934848 is 8484397525431.

It is a happy number.

1345257934848 is a `hidden beast` number, since 1 + 3 + 4 + 52 + 579 + 3 + 4 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×1345257934848² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345257934841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240608533 + ... + 240614123.

It is an arithmetic number, because the mean of its divisors is an integer number (12779336088).

Almost surely, 2^{1345257934848} is an apocalyptic number.

1345257934848 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 1345257934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993576429728).

1345257934848 is an abundant number, since it is smaller than the sum of its proper divisors (2641894924608).

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

1345257934848 is a wasteful number, since it uses less digits than its factorization.

1345257934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5764 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 1345257934848 in words is "one trillion, three hundred forty-five billion, two hundred fifty-seven million, nine hundred thirty-four thousand, eight hundred forty-eight".