1145465029696 has 189 divisors, whose sum is σ = 2532918502479. Its totient is φ = 513726720000.

The previous prime is 1145465029669. The next prime is 1145465029697. The reversal of 1145465029696 is 6969205645411.

The square root of 1145465029696 is 1070264.

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

It can be written as a sum of positive squares in 4 ways, for example, as 762967310400 + 382497719296 = 873480^2 + 618464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1145465029696.

It is not an unprimeable number, because it can be changed into a prime (1145465029697) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4563605571 + ... + 4563605821.

Almost surely, 2^{1145465029696} is an apocalyptic number.

1145465029696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1145465029696 is the 1070264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145465029696

1145465029696 is an abundant number, since it is smaller than the sum of its proper divisors (1387453472783).

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

1145465029696 is an frugal number, since it uses more digits than its factorization.

1145465029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 1145465029696 in words is "one trillion, one hundred forty-five billion, four hundred sixty-five million, twenty-nine thousand, six hundred ninety-six".