34441577514443 has 32 divisors (see below), whose sum is σ = 38123747081472. Its totient is φ = 31111751816640.

The previous prime is 34441577514403. The next prime is 34441577514451.

34441577514443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34441577514443 - 2¹⁶ = 34441577448907 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34441577514403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206895271 + ... + 1206923807.

It is an arithmetic number, because the mean of its divisors is an integer number (1191367096296).

Almost surely, 2^{34441577514443} is an apocalyptic number.

34441577514443 is a deficient number, since it is larger than the sum of its proper divisors (3682169567029).

34441577514443 is a wasteful number, since it uses less digits than its factorization.

34441577514443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34296 (or 34274 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 56.

The spelling of 34441577514443 in words is "thirty-four trillion, four hundred forty-one billion, five hundred seventy-seven million, five hundred fourteen thousand, four hundred forty-three".