1416135700225 has 45 divisors (see below), whose sum is σ = 1825172051583. Its totient is φ = 1089977579040.

The previous prime is 1416135700163. The next prime is 1416135700249. The reversal of 1416135700225 is 5220075316141.

The square root of 1416135700225 is 1190015.

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

It can be written as a sum of positive squares in 7 ways, for example, as 839186077041 + 576949623184 = 916071^2 + 759572^2 .

It is not a de Polignac number, because 1416135700225 - 2⁷ = 1416135700097 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 5004012934 + ... + 5004013216.

Almost surely, 2^{1416135700225} is an apocalyptic number.

1416135700225 is the 1190015-th square number.

1416135700225 is the 595008-th centered octagonal number.

It is an amenable number.

1416135700225 is a deficient number, since it is larger than the sum of its proper divisors (409036351358).

1416135700225 is an frugal number, since it uses more digits than its factorization.

1416135700225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 1416135700225 in words is "one trillion, four hundred sixteen billion, one hundred thirty-five million, seven hundred thousand, two hundred twenty-five".