4454115076944 has 300 divisors, whose sum is σ = 14747866130844. Its totient is φ = 1289878069248.

The previous prime is 4454115076933. The next prime is 4454115076967. The reversal of 4454115076944 is 4496705114544.

4454115076944 is a `hidden beast` number, since 4 + 4 + 5 + 41 + 1 + 507 + 6 + 94 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 886776289344 + 3567338787600 = 941688^2 + 1888740^2 .

It is a super-2 number, since 2×4454115076944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4411684 + ... + 5326460.

Almost surely, 2^{4454115076944} 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 4454115076944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373933065422).

4454115076944 is an abundant number, since it is smaller than the sum of its proper divisors (10293751053900).

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

4454115076944 is a wasteful number, since it uses less digits than its factorization.

4454115076944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914844 (or 914812 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4454115076944 in words is "four trillion, four hundred fifty-four billion, one hundred fifteen million, seventy-six thousand, nine hundred forty-four".