44416146616416 has 144 divisors (see below), whose sum is σ = 133746738272784. Its totient is φ = 13933600653312.

The previous prime is 44416146616403. The next prime is 44416146616427. The reversal of 44416146616416 is 61461664161444.

44416146616416 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 6 + 1 + 4 + 6 + 616 + 4 + 16 = 666.

44416146616416 is a nontrivial binomial coefficient, being equal to C(9425089, 2).

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

It is a super-3 number, since 3×44416146616416³ (a number of 42 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79836040 + ... + 80390456.

It is an arithmetic number, because the mean of its divisors is an integer number (928796793561).

Almost surely, 2^{44416146616416} is an apocalyptic number.

44416146616416 is the 9425088-th triangular number.

It is an amenable number.

44416146616416 is an abundant number, since it is smaller than the sum of its proper divisors (89330591656368).

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

44416146616416 is a wasteful number, since it uses less digits than its factorization.

44416146616416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570813 (or 570802 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 44416146616416 in words is "forty-four trillion, four hundred sixteen billion, one hundred forty-six million, six hundred sixteen thousand, four hundred sixteen".