4701044134656 has 144 divisors (see below), whose sum is σ = 13934078161920. Its totient is φ = 1563377955840.

The previous prime is 4701044134651. The next prime is 4701044134693. The reversal of 4701044134656 is 6564314401074.

4701044134656 is a `hidden beast` number, since 4 + 70 + 104 + 4 + 13 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4701044134651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190061 + ... + 3768083.

It is an arithmetic number, because the mean of its divisors is an integer number (96764431680).

Almost surely, 2^{4701044134656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4701044134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967039080960).

4701044134656 is an abundant number, since it is smaller than the sum of its proper divisors (9233034027264).

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

4701044134656 is a wasteful number, since it uses less digits than its factorization.

4701044134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578479 (or 1578459 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4701044134656 in words is "four trillion, seven hundred one billion, forty-four million, one hundred thirty-four thousand, six hundred fifty-six".