34443225560466 has 16 divisors (see below), whose sum is σ = 76540501245600. Its totient is φ = 11481075186804.

The previous prime is 34443225560441. The next prime is 34443225560501. The reversal of 34443225560466 is 66406552234443.

34443225560466 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 3 + 2 + 25 + 5 + 604 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 637837510379 = 34443225560466 / (3 + 4 + 4 + 4 + 3 + 2 + 2 + 5 + 5 + 6 + 0 + 4 + 6 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318918755136 + ... + 318918755243.

It is an arithmetic number, because the mean of its divisors is an integer number (4783781327850).

Almost surely, 2^{34443225560466} is an apocalyptic number.

34443225560466 is an abundant number, since it is smaller than the sum of its proper divisors (42097275685134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34443225560466 is a wasteful number, since it uses less digits than its factorization.

34443225560466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637837510390 (or 637837510384 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 34443225560466 in words is "thirty-four trillion, four hundred forty-three billion, two hundred twenty-five million, five hundred sixty thousand, four hundred sixty-six".