1345753127424 has 480 divisors, whose sum is σ = 3980685487680. Its totient is φ = 403415498752.

The previous prime is 1345753127401. The next prime is 1345753127497. The reversal of 1345753127424 is 4247213575431.

It is a super-2 number, since 2×1345753127424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377433624 + ... + 1377434600.

It is an arithmetic number, because the mean of its divisors is an integer number (8293094766).

Almost surely, 2^{1345753127424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345753127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990342743840).

1345753127424 is an abundant number, since it is smaller than the sum of its proper divisors (2634932360256).

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

1345753127424 is a wasteful number, since it uses less digits than its factorization.

1345753127424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1135 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 1345753127424 in words is "one trillion, three hundred forty-five billion, seven hundred fifty-three million, one hundred twenty-seven thousand, four hundred twenty-four".