46065611656064 has 256 divisors, whose sum is σ = 123296429007360. Its totient is φ = 16556435251200.

The previous prime is 46065611656063. The next prime is 46065611656073.

46065611656064 is nontrivially palindromic in base 10.

46065611656064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46065611656063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201174662 + ... + 201403514.

It is an arithmetic number, because the mean of its divisors is an integer number (481626675810).

Almost surely, 2^{46065611656064} is an apocalyptic number.

46065611656064 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 46065611656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61648214503680).

46065611656064 is an abundant number, since it is smaller than the sum of its proper divisors (77230817351296).

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

46065611656064 is a wasteful number, since it uses less digits than its factorization.

46065611656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230469 (or 230457 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 46065611656064 in words is "forty-six trillion, sixty-five billion, six hundred eleven million, six hundred fifty-six thousand, sixty-four".