34133305451344 has 40 divisors (see below), whose sum is σ = 72219239779968. Its totient is φ = 15499258375680.

The previous prime is 34133305451341. The next prime is 34133305451351. The reversal of 34133305451344 is 44315450333143.

It is a self number, because there is not a number n which added to its sum of digits gives 34133305451344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133305451341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99080472 + ... + 99424375.

Almost surely, 2^{34133305451344} is an apocalyptic number.

It is an amenable number.

34133305451344 is an abundant number, since it is smaller than the sum of its proper divisors (38085934328624).

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

34133305451344 is a wasteful number, since it uses less digits than its factorization.

34133305451344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198505843 (or 198505837 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

Adding to 34133305451344 its reverse (44315450333143), we get a palindrome (78448755784487).

The spelling of 34133305451344 in words is "thirty-four trillion, one hundred thirty-three billion, three hundred five million, four hundred fifty-one thousand, three hundred forty-four".