348616107657216 has 768 divisors, whose sum is σ = 1220798779200000. Its totient is φ = 98239765413888.

The previous prime is 348616107657187. The next prime is 348616107657227. The reversal of 348616107657216 is 612756701616843.

348616107657216 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 1 + 610 + 7 + 6 + 5 + 7 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 1384430650 + ... + 1384682438.

It is an arithmetic number, because the mean of its divisors is an integer number (1589581743750).

Almost surely, 2^{348616107657216} is an apocalyptic number.

348616107657216 is a gapful number since it is divisible by the number (36) 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 348616107657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610399389600000).

348616107657216 is an abundant number, since it is smaller than the sum of its proper divisors (872182671542784).

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

348616107657216 is an equidigital number, since it uses as much as digits as its factorization.

348616107657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251914 (or 251874 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 348616107657216 in words is "three hundred forty-eight trillion, six hundred sixteen billion, one hundred seven million, six hundred fifty-seven thousand, two hundred sixteen".