1345248896 has 64 divisors (see below), whose sum is σ = 2866197960. Its totient is φ = 626688000.

The previous prime is 1345248881. The next prime is 1345248901. The reversal of 1345248896 is 6988425431.

It can be written as a sum of positive squares in 4 ways, for example, as 1305810496 + 39438400 = 36136^2 + 6280^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216716 + ... + 222836.

Almost surely, 2^1345248896 is an apocalyptic number.

1345248896 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 1345248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433098980).

1345248896 is an abundant number, since it is smaller than the sum of its proper divisors (1520949064).

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

1345248896 is a wasteful number, since it uses less digits than its factorization.

1345248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6241 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 1345248896 is about 36677.6348201462. The cubic root of 1345248896 is about 1103.9113910539.

The spelling of 1345248896 in words is "one billion, three hundred forty-five million, two hundred forty-eight thousand, eight hundred ninety-six".