46046000064064 has 112 divisors (see below), whose sum is σ = 122682000341376. Its totient is φ = 16560000000000.

The previous prime is 46046000064049. The next prime is 46046000064089.

It is a happy number.

46046000064064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

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, 359310937 + ... + 359439064.

It is an arithmetic number, because the mean of its divisors is an integer number (1095375003048).

Almost surely, 2^{46046000064064} is an apocalyptic number.

46046000064064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46046000064064 is an abundant number, since it is smaller than the sum of its proper divisors (76636000277312).

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

46046000064064 is a wasteful number, since it uses less digits than its factorization.

46046000064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718750044 (or 718750034 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 46046000064064 in words is "forty-six trillion, forty-six billion, sixty-four thousand, sixty-four", and thus it is an eban number.