46064044046064 has 80 divisors (see below), whose sum is σ = 129866460514560. Its totient is φ = 13953466913280.

The previous prime is 46064044046003. The next prime is 46064044046071.

46064044046064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 15286644 + ... + 18050195.

It is an arithmetic number, because the mean of its divisors is an integer number (1623330756432).

Almost surely, 2^{46064044046064} is an apocalyptic number.

46064044046064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46064044046064 is an abundant number, since it is smaller than the sum of its proper divisors (83802416468496).

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

46064044046064 is a wasteful number, since it uses less digits than its factorization.

46064044046064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33339478 (or 33339472 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 46064044046064 in words is "forty-six trillion, sixty-four billion, forty-four million, forty-six thousand, sixty-four", and thus it is an eban number.