46046064064 has 504 divisors, whose sum is σ = 131180640864. Its totient is φ = 15601766400.

The previous prime is 46046064047. The next prime is 46046064151.

It is a happy number.

46046064064 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254398054 + ... + 254398234.

Almost surely, 2^46046064064 is an apocalyptic number.

46046064064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46046064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65590320432).

46046064064 is an abundant number, since it is smaller than the sum of its proper divisors (85134576800).

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

46046064064 is a wasteful number, since it uses less digits than its factorization.

46046064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 233 counting only the distinct ones).

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

The spelling of 46046064064 in words is "forty-six billion, forty-six million, sixty-four thousand, sixty-four", and thus it is an eban number.