445429177461 has 64 divisors (see below), whose sum is σ = 722597760000. Its totient is φ = 270103813056.

The previous prime is 445429177441. The next prime is 445429177469. The reversal of 445429177461 is 164771924544.

It is a happy number.

445429177461 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 2 + 9 + 177 + 461 = 666.

It is not a de Polignac number, because 445429177461 - 2²³ = 445420788853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 445429177398 and 445429177407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445429177469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2579350 + ... + 2746616.

It is an arithmetic number, because the mean of its divisors is an integer number (11290590000).

Almost surely, 2^445429177461 is an apocalyptic number.

It is an amenable number.

445429177461 is a deficient number, since it is larger than the sum of its proper divisors (277168582539).

445429177461 is a wasteful number, since it uses less digits than its factorization.

445429177461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167503 (or 167497 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 445429177461 in words is "four hundred forty-five billion, four hundred twenty-nine million, one hundred seventy-seven thousand, four hundred sixty-one".