45442092155625 has 135 divisors (see below), whose sum is σ = 90167411471137. Its totient is φ = 22029833100000.

The previous prime is 45442092155533. The next prime is 45442092155627. The reversal of 45442092155625 is 52655129024454.

The square root of 45442092155625 is 6741075.

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

45442092155625 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 2 + 0 + 9 + 2 + 1 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3562660025001 + 41879432130624 = 1887501^2 + 6471432^2 .

It is not a de Polignac number, because 45442092155625 - 2¹⁹ = 45442091631337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45442092155627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5561382790 + ... + 5561390960.

Almost surely, 2^{45442092155625} is an apocalyptic number.

45442092155625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45442092155625 is the 6741075-th square number.

45442092155625 is the 3370538-th centered octagonal number.

It is an amenable number.

45442092155625 is a deficient number, since it is larger than the sum of its proper divisors (44725319315512).

45442092155625 is an frugal number, since it uses more digits than its factorization.

45442092155625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16390 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 45442092155625 in words is "forty-five trillion, four hundred forty-two billion, ninety-two million, one hundred fifty-five thousand, six hundred twenty-five".