46044688644064 has 48 divisors (see below), whose sum is σ = 98947085687856. Its totient is φ = 20917625702400.

The previous prime is 46044688644047. The next prime is 46044688644083.

It is a happy number.

46044688644064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46044688644064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46044688643987 and 46044688644005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36180567 + ... + 37431574.

It is an arithmetic number, because the mean of its divisors is an integer number (2061397618497).

Almost surely, 2^{46044688644064} is an apocalyptic number.

46044688644064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46044688644064 is an abundant number, since it is smaller than the sum of its proper divisors (52902397043792).

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

46044688644064 is a wasteful number, since it uses less digits than its factorization.

46044688644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73613939 (or 73613931 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 64.

The spelling of 46044688644064 in words is "forty-six trillion, forty-four billion, six hundred eighty-eight million, six hundred forty-four thousand, sixty-four".