44305619121 has 9 divisors (see below), whose sum is σ = 63997917529. Its totient is φ = 29536658436.

The previous prime is 44305619107. The next prime is 44305619173. The reversal of 44305619121 is 12191650344.

It is a happy number.

The square root of 44305619121 is 210489.

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

44305619121 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 561 + 91 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 44305619121 - 2¹³ = 44305610929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44305619221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 596386 + ... + 666548.

Almost surely, 2^44305619121 is an apocalyptic number.

44305619121 is the 210489-th square number.

44305619121 is the 105245-th centered octagonal number.

It is an amenable number.

44305619121 is a deficient number, since it is larger than the sum of its proper divisors (19692298408).

44305619121 is an frugal number, since it uses more digits than its factorization.

44305619121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140332 (or 70166 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 44305619121 by its sum of digits (36), we get a square (1595002288356 = 1262934²).

The spelling of 44305619121 in words is "forty-four billion, three hundred five million, six hundred nineteen thousand, one hundred twenty-one".