34946012660064 has 96 divisors (see below), whose sum is σ = 100899719867520. Its totient is φ = 10589700767360.

The previous prime is 34946012660063. The next prime is 34946012660099. The reversal of 34946012660064 is 46006621064943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34946012659989 and 34946012660016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34946012660063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 136619394 + ... + 136874945.

It is an arithmetic number, because the mean of its divisors is an integer number (1051038748620).

Almost surely, 2^{34946012660064} is an apocalyptic number.

It is an amenable number.

34946012660064 is an abundant number, since it is smaller than the sum of its proper divisors (65953707207456).

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

34946012660064 is a wasteful number, since it uses less digits than its factorization.

34946012660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273494385 (or 273494355 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 34946012660064 in words is "thirty-four trillion, nine hundred forty-six billion, twelve million, six hundred sixty thousand, sixty-four".