4344937138656 has 192 divisors, whose sum is σ = 13463997422400. Its totient is φ = 1358463909888.

The previous prime is 4344937138651. The next prime is 4344937138657. The reversal of 4344937138656 is 6568317394434.

It is a happy number.

4344937138656 is a `hidden beast` number, since 4 + 3 + 4 + 493 + 7 + 13 + 86 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4344937138593 and 4344937138602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344937138651) 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, 3798780 + ... + 4808388.

It is an arithmetic number, because the mean of its divisors is an integer number (70124986575).

Almost surely, 2^{4344937138656} 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 4344937138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731998711200).

4344937138656 is an abundant number, since it is smaller than the sum of its proper divisors (9119060283744).

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

4344937138656 is a wasteful number, since it uses less digits than its factorization.

4344937138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009938 (or 1009924 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 4344937138656 in words is "four trillion, three hundred forty-four billion, nine hundred thirty-seven million, one hundred thirty-eight thousand, six hundred fifty-six".