34130445551514 has 64 divisors (see below), whose sum is σ = 81680664401280. Its totient is φ = 10501551400320.

The previous prime is 34130445551491. The next prime is 34130445551519. The reversal of 34130445551514 is 41515554403143.

34130445551514 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 0 + 4 + 45 + 551 + 51 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34130445551514.

It is not an unprimeable number, because it can be changed into a prime (34130445551519) 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 31 ways as a sum of consecutive naturals, for example, 72117174 + ... + 72588894.

It is an arithmetic number, because the mean of its divisors is an integer number (1276260381270).

Almost surely, 2^{34130445551514} is an apocalyptic number.

34130445551514 is an abundant number, since it is smaller than the sum of its proper divisors (47550218849766).

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

34130445551514 is a wasteful number, since it uses less digits than its factorization.

34130445551514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574812 (or 574806 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 34130445551514 its reverse (41515554403143), we get a palindrome (75645999954657).

The spelling of 34130445551514 in words is "thirty-four trillion, one hundred thirty billion, four hundred forty-five million, five hundred fifty-one thousand, five hundred fourteen".