1156345362225 has 81 divisors (see below), whose sum is σ = 2200663409347. Its totient is φ = 580302382080.

The previous prime is 1156345362223. The next prime is 1156345362229. The reversal of 1156345362225 is 5222635436511.

The square root of 1156345362225 is 1075335.

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

1156345362225 is a `hidden beast` number, since 1 + 1 + 5 + 63 + 4 + 5 + 362 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 39916443681 + 1116428918544 = 199791^2 + 1056612^2 .

It is not a de Polignac number, because 1156345362225 - 2¹ = 1156345362223 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1156345362223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 274208317 + ... + 274212533.

Almost surely, 2^{1156345362225} is an apocalyptic number.

1156345362225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1156345362225 is the 1075335-th square number.

1156345362225 is the 537668-th centered octagonal number.

It is an amenable number.

1156345362225 is a deficient number, since it is larger than the sum of its proper divisors (1044318047122).

1156345362225 is an frugal number, since it uses more digits than its factorization.

1156345362225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 4242 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 1156345362225 in words is "one trillion, one hundred fifty-six billion, three hundred forty-five million, three hundred sixty-two thousand, two hundred twenty-five".