45442226977225 has 81 divisors (see below), whose sum is σ = 61546200847677. Its totient is φ = 33268386977280.

The previous prime is 45442226977211. The next prime is 45442226977249. The reversal of 45442226977225 is 52277962224454.

The square root of 45442226977225 is 6741085.

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

It can be written as a sum of positive squares in 40 ways, for example, as 40788697879609 + 4653529097616 = 6386603^2 + 2157204^2 .

It is not a de Polignac number, because 45442226977225 - 2³⁵ = 45407867238857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60029361547 + ... + 60029362303.

Almost surely, 2^{45442226977225} is an apocalyptic number.

45442226977225 is the 6741085-th square number.

45442226977225 is the 3370543-rd centered octagonal number.

It is an amenable number.

45442226977225 is a deficient number, since it is larger than the sum of its proper divisors (16103973870452).

45442226977225 is an frugal number, since it uses more digits than its factorization.

45442226977225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 912 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 61.

The spelling of 45442226977225 in words is "forty-five trillion, four hundred forty-two billion, two hundred twenty-six million, nine hundred seventy-seven thousand, two hundred twenty-five".