34631044013643 has 64 divisors (see below), whose sum is σ = 59853060341760. Its totient is φ = 17284574188800.

The previous prime is 34631044013617. The next prime is 34631044013747.

34631044013643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34631044013643 - 2¹⁴ = 34631043997259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34631044013595 and 34631044013604.

It is not an unprimeable number, because it can be changed into a prime (34631044013143) 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, 16400530 + ... + 18391287.

It is an arithmetic number, because the mean of its divisors is an integer number (935204067840).

Almost surely, 2^{34631044013643} is an apocalyptic number.

34631044013643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34631044013643 is a deficient number, since it is larger than the sum of its proper divisors (25222016328117).

34631044013643 is a wasteful number, since it uses less digits than its factorization.

34631044013643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34792008.

The product of its (nonzero) digits is 746496, while the sum is 42.

It can be divided in two parts, 3463104 and 4013643, that added together give a palindrome (7476747).

The spelling of 34631044013643 in words is "thirty-four trillion, six hundred thirty-one billion, forty-four million, thirteen thousand, six hundred forty-three".