34444145412 has 18 divisors (see below), whose sum is σ = 87067145438. Its totient is φ = 11481381792.

The previous prime is 34444145401. The next prime is 34444145423. The reversal of 34444145412 is 21454144443.

34444145412 is a `hidden beast` number, since 34 + 44 + 41 + 4 + 541 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34444145401) and next prime (34444145423).

It can be written as a sum of positive squares in only one way, i.e., 21822971076 + 12621174336 = 147726^2 + 112344^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 956781817 = 34444145412 / (3 + 4 + 4 + 4 + 4 + 1 + 4 + 5 + 4 + 1 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478390873 + ... + 478390944.

Almost surely, 2^34444145412 is an apocalyptic number.

It is an amenable number.

34444145412 is an abundant number, since it is smaller than the sum of its proper divisors (52623000026).

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

34444145412 is a wasteful number, since it uses less digits than its factorization.

34444145412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956781827 (or 956781822 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 34444145412 its reverse (21454144443), we get a palindrome (55898289855).

The spelling of 34444145412 in words is "thirty-four billion, four hundred forty-four million, one hundred forty-five thousand, four hundred twelve".