34100514505104 has 40 divisors (see below), whose sum is σ = 88097036324640. Its totient is φ = 11366316811008.

The previous prime is 34100514505091. The next prime is 34100514505147. The reversal of 34100514505104 is 40150541500143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15234294 + ... + 17328725.

It is an arithmetic number, because the mean of its divisors is an integer number (2202425908116).

Almost surely, 2^{34100514505104} is an apocalyptic number.

It is an amenable number.

34100514505104 is an abundant number, since it is smaller than the sum of its proper divisors (53996521819536).

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

34100514505104 is a wasteful number, since it uses less digits than its factorization.

34100514505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32584847 (or 32584841 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 34100514505104 in words is "thirty-four trillion, one hundred billion, five hundred fourteen million, five hundred five thousand, one hundred four".