744166236090816 has 896 divisors, whose sum is σ = 2796052027392000. Its totient is φ = 188479206789120.

The previous prime is 744166236090787. The next prime is 744166236090887. The reversal of 744166236090816 is 618090632661447.

744166236090816 is a `hidden beast` number, since 7 + 4 + 4 + 1 + 6 + 6 + 2 + 3 + 609 + 0 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1149147085 + ... + 1149794483.

Almost surely, 2^{744166236090816} 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 744166236090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398026013696000).

744166236090816 is an abundant number, since it is smaller than the sum of its proper divisors (2051885791301184).

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

744166236090816 is a wasteful number, since it uses less digits than its factorization.

744166236090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647654 (or 647638 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 744166236090816 in words is "seven hundred forty-four trillion, one hundred sixty-six billion, two hundred thirty-six million, ninety thousand, eight hundred sixteen".