4344454994688 has 288 divisors, whose sum is σ = 13134869092800. Its totient is φ = 1433794867200.

The previous prime is 4344454994681. The next prime is 4344454994743. The reversal of 4344454994688 is 8864994544434.

4344454994688 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 454 + 9 + 94 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4344454994681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56508658 + ... + 56585486.

It is an arithmetic number, because the mean of its divisors is an integer number (45607184350).

Almost surely, 2^{4344454994688} is an apocalyptic number.

4344454994688 is a gapful number since it is divisible by the number (48) 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 4344454994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567434546400).

4344454994688 is an abundant number, since it is smaller than the sum of its proper divisors (8790414098112).

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

4344454994688 is an frugal number, since it uses more digits than its factorization.

4344454994688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76967 (or 76935 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 72.

The spelling of 4344454994688 in words is "four trillion, three hundred forty-four billion, four hundred fifty-four million, nine hundred ninety-four thousand, six hundred eighty-eight".