4363129665216 has 1232 divisors, whose sum is σ = 15861307051008. Its totient is φ = 1163973888000.

The previous prime is 4363129665211. The next prime is 4363129665299. The reversal of 4363129665216 is 6125669213634.

4363129665216 is a `hidden beast` number, since 4 + 3 + 6 + 31 + 29 + 66 + 521 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4363129665211) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 43199303566 + ... + 43199303666.

Almost surely, 2^{4363129665216} is an apocalyptic number.

4363129665216 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 4363129665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930653525504).

4363129665216 is an abundant number, since it is smaller than the sum of its proper divisors (11498177385792).

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

4363129665216 is an equidigital number, since it uses as much as digits as its factorization.

4363129665216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 207 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 4363129665216 in words is "four trillion, three hundred sixty-three billion, one hundred twenty-nine million, six hundred sixty-five thousand, two hundred sixteen".