34414216461303 has 16 divisors (see below), whose sum is σ = 52443935066880. Its totient is φ = 19664057448576.

The previous prime is 34414216461283. The next prime is 34414216461307. The reversal of 34414216461303 is 30316461241443.

It is not a de Polignac number, because 34414216461303 - 2²² = 34414212266999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414216461307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50029458 + ... + 50712671.

It is an arithmetic number, because the mean of its divisors is an integer number (3277745941680).

Almost surely, 2^{34414216461303} is an apocalyptic number.

34414216461303 is a deficient number, since it is larger than the sum of its proper divisors (18029718605577).

34414216461303 is a wasteful number, since it uses less digits than its factorization.

34414216461303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100758406.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 34414216461303 in words is "thirty-four trillion, four hundred fourteen billion, two hundred sixteen million, four hundred sixty-one thousand, three hundred three".