1345275219600 has 405 divisors, whose sum is σ = 5058618473883. Its totient is φ = 330921976320.

The previous prime is 1345275219593. The next prime is 1345275219619. The reversal of 1345275219600 is 69125725431.

The square root of 1345275219600 is 1159860.

It is a perfect power (a square), and thus also a powerful number.

1345275219600 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 27 + 5 + 2 + 19 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 346746677904 + 998528541696 = 588852^2 + 999264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 904690057 + ... + 904691543.

Almost surely, 2^{1345275219600} is an apocalyptic number.

1345275219600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345275219600 is the 1159860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345275219600

1345275219600 is an abundant number, since it is smaller than the sum of its proper divisors (3713343254283).

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

1345275219600 is a wasteful number, since it uses less digits than its factorization.

1345275219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1345275219600 in words is "one trillion, three hundred forty-five billion, two hundred seventy-five million, two hundred nineteen thousand, six hundred".