1345042944 has 480 divisors, whose sum is σ = 4851475200. Its totient is φ = 357654528.

The previous prime is 1345042943. The next prime is 1345042949. The reversal of 1345042944 is 4492405431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1345042899 and 1345042908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345042943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36352494 + ... + 36352530.

It is an arithmetic number, because the mean of its divisors is an integer number (10107240).

Almost surely, 2^1345042944 is an apocalyptic number.

1345042944 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 1345042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425737600).

1345042944 is an abundant number, since it is smaller than the sum of its proper divisors (3506432256).

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

1345042944 is an equidigital number, since it uses as much as digits as its factorization.

1345042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1345042944 is about 36674.8271161569. The cubic root of 1345042944 is about 1103.8550534343.

The spelling of 1345042944 in words is "one billion, three hundred forty-five million, forty-two thousand, nine hundred forty-four".