1345372416 has 198 divisors, whose sum is σ = 4073472270. Its totient is φ = 443418624.

The previous prime is 1345372381. The next prime is 1345372417. The reversal of 1345372416 is 6142735431.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 377913600 = 31104^2 + 19440^2 .

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

Its product of digits (60480) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (1345372417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 15116500 + ... + 15116588.

Almost surely, 2^1345372416 is an apocalyptic number.

1345372416 is a gapful number since it is divisible by the number (16) 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 1345372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036736135).

1345372416 is an abundant number, since it is smaller than the sum of its proper divisors (2728099854).

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

1345372416 is an frugal number, since it uses more digits than its factorization.

1345372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1345372416 is about 36679.3186414361. The cubic root of 1345372416 is about 1103.9451768617.

The spelling of 1345372416 in words is "one billion, three hundred forty-five million, three hundred seventy-two thousand, four hundred sixteen".