1345242025344 has 256 divisors, whose sum is σ = 4174362501120. Its totient is φ = 375843145728.

The previous prime is 1345242025343. The next prime is 1345242025367. The reversal of 1345242025344 is 4435202425431.

It is a super-2 number, since 2×1345242025344² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345242025343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165117079 + ... + 165125225.

It is an arithmetic number, because the mean of its divisors is an integer number (16306103520).

Almost surely, 2^{1345242025344} is an apocalyptic number.

1345242025344 is a gapful number since it is divisible by the number (14) 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 1345242025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087181250560).

1345242025344 is an abundant number, since it is smaller than the sum of its proper divisors (2829120475776).

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

1345242025344 is a wasteful number, since it uses less digits than its factorization.

1345242025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 1345242025344 in words is "one trillion, three hundred forty-five billion, two hundred forty-two million, twenty-five thousand, three hundred forty-four".