1345111600 has 120 divisors (see below), whose sum is σ = 3783695328. Its totient is φ = 449894400.

The previous prime is 1345111577. The next prime is 1345111609. The reversal of 1345111600 is 61115431.

It is not an unprimeable number, because it can be changed into a prime (1345111609) 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 23 ways as a sum of consecutive naturals, for example, 108942 + ... + 120658.

Almost surely, 2^1345111600 is an apocalyptic number.

1345111600 is a gapful number since it is divisible by the number (10) 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 1345111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891847664).

1345111600 is an abundant number, since it is smaller than the sum of its proper divisors (2438583728).

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

1345111600 is a wasteful number, since it uses less digits than its factorization.

1345111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11783 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1345111600 is about 36675.7631140785. The cubic root of 1345111600 is about 1103.8738347387.

The spelling of 1345111600 in words is "one billion, three hundred forty-five million, one hundred eleven thousand, six hundred".