4689083629944 has 256 divisors, whose sum is σ = 15131144908800. Its totient is φ = 1317773712384.

The previous prime is 4689083629861. The next prime is 4689083629981. The reversal of 4689083629944 is 4499263809864.

4689083629944 is a `hidden beast` number, since 468 + 9 + 0 + 8 + 36 + 2 + 99 + 44 = 666.

It is a super-3 number, since 3×4689083629944³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40450114 + ... + 40565870.

It is an arithmetic number, because the mean of its divisors is an integer number (59106034800).

Almost surely, 2^{4689083629944} 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 4689083629944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565572454400).

4689083629944 is an abundant number, since it is smaller than the sum of its proper divisors (10442061278856).

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

4689083629944 is a wasteful number, since it uses less digits than its factorization.

4689083629944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116219 (or 116209 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 4689083629944 in words is "four trillion, six hundred eighty-nine billion, eighty-three million, six hundred twenty-nine thousand, nine hundred forty-four".