34518635754064 has 80 divisors (see below), whose sum is σ = 83942294313600. Its totient is φ = 13358558522880.

The previous prime is 34518635754047. The next prime is 34518635754103. The reversal of 34518635754064 is 46045753681543.

It is a junction number, because it is equal to n+sod(n) for n = 34518635753993 and 34518635754011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93837819 + ... + 94204954.

It is an arithmetic number, because the mean of its divisors is an integer number (1049278678920).

Almost surely, 2^{34518635754064} is an apocalyptic number.

It is an amenable number.

34518635754064 is an abundant number, since it is smaller than the sum of its proper divisors (49423658559536).

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

34518635754064 is a wasteful number, since it uses less digits than its factorization.

34518635754064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188042948 (or 188042942 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 61.

The spelling of 34518635754064 in words is "thirty-four trillion, five hundred eighteen billion, six hundred thirty-five million, seven hundred fifty-four thousand, sixty-four".