34023141223416 has 80 divisors (see below), whose sum is σ = 95358061537200. Its totient is φ = 11333696743296.

The previous prime is 34023141223411. The next prime is 34023141223417. The reversal of 34023141223416 is 61432214132043.

34023141223416 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 3 + 1 + 412 + 234 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023141223411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16014021 + ... + 18013748.

It is an arithmetic number, because the mean of its divisors is an integer number (1191975769215).

Almost surely, 2^{34023141223416} is an apocalyptic number.

34023141223416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34023141223416 is an abundant number, since it is smaller than the sum of its proper divisors (61334920313784).

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

34023141223416 is a wasteful number, since it uses less digits than its factorization.

34023141223416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34029330 (or 34029317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 34023141223416 its reverse (61432214132043), we get a palindrome (95455355355459).

The spelling of 34023141223416 in words is "thirty-four trillion, twenty-three billion, one hundred forty-one million, two hundred twenty-three thousand, four hundred sixteen".