4609197686016 has 2592 divisors, whose sum is σ = 19196184204288. Its totient is φ = 1067708252160.

The previous prime is 4609197686011. The next prime is 4609197686029. The reversal of 4609197686016 is 6106867919064.

4609197686016 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 19 + 7 + 6 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609197686011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43076613835 + ... + 43076613941.

It is an arithmetic number, because the mean of its divisors is an integer number (7405935264).

Almost surely, 2^{4609197686016} is an apocalyptic number.

4609197686016 is a gapful number since it is divisible by the number (46) 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 4609197686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598092102144).

4609197686016 is an abundant number, since it is smaller than the sum of its proper divisors (14586986518272).

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

4609197686016 is a wasteful number, since it uses less digits than its factorization.

4609197686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 4609197686016 in words is "four trillion, six hundred nine billion, one hundred ninety-seven million, six hundred eighty-six thousand, sixteen".