1345052535696 has 135 divisors (see below), whose sum is σ = 3799144646193. Its totient is φ = 444236002560.

The previous prime is 1345052535691. The next prime is 1345052535719. The reversal of 1345052535696 is 6965352505431.

The square root of 1345052535696 is 1159764.

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

1345052535696 is a `hidden beast` number, since 1 + 3 + 4 + 50 + 5 + 25 + 3 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3532638096 + 1341519897600 = 59436^2 + 1158240^2 .

It is not an unprimeable number, because it can be changed into a prime (1345052535691) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1767479956 + ... + 1767480716.

Almost surely, 2^{1345052535696} is an apocalyptic number.

1345052535696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1345052535696 is the 1159764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345052535696

1345052535696 is an abundant number, since it is smaller than the sum of its proper divisors (2454092110497).

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

1345052535696 is an frugal number, since it uses more digits than its factorization.

1345052535696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

It can be divided in two parts, 13450525 and 35696, that added together give a triangular number (13486221 = T₅₁₉₃).

The spelling of 1345052535696 in words is "one trillion, three hundred forty-five billion, fifty-two million, five hundred thirty-five thousand, six hundred ninety-six".