34435444453443 has 32 divisors (see below), whose sum is σ = 55713802483200. Its totient is φ = 20847256740000.

The previous prime is 34435444453433. The next prime is 34435444453453.

34435444453443 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 544 + 4 + 4 + 53 + 4 + 43 = 666.

34435444453443 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34435444453433) and next prime (34435444453453).

It is not a de Polignac number, because 34435444453443 - 2⁴ = 34435444453427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34435444453443.

It is not an unprimeable number, because it can be changed into a prime (34435444453433) 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, 62808808 + ... + 63354693.

It is an arithmetic number, because the mean of its divisors is an integer number (1741056327600).

Almost surely, 2^{34435444453443} is an apocalyptic number.

34435444453443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34435444453443 is a deficient number, since it is larger than the sum of its proper divisors (21278358029757).

34435444453443 is a wasteful number, since it uses less digits than its factorization.

34435444453443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126164440 (or 126164434 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

It can be divided in two parts, 3443544 and 4453443, that added together give a palindrome (7896987).

The spelling of 34435444453443 in words is "thirty-four trillion, four hundred thirty-five billion, four hundred forty-four million, four hundred fifty-three thousand, four hundred forty-three".