4348214716608 has 560 divisors, whose sum is σ = 14833162713600. Its totient is φ = 1233750528000.

The previous prime is 4348214716541. The next prime is 4348214716613. The reversal of 4348214716608 is 8066174128434.

4348214716608 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 2 + 14 + 7 + 16 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5182615453 + ... + 5182616291.

It is an arithmetic number, because the mean of its divisors is an integer number (26487790560).

Almost surely, 2^{4348214716608} is an apocalyptic number.

4348214716608 is a gapful number since it is divisible by the number (48) 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 4348214716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416581356800).

4348214716608 is an abundant number, since it is smaller than the sum of its proper divisors (10484947996992).

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

4348214716608 is a wasteful number, since it uses less digits than its factorization.

4348214716608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4348214716608 in words is "four trillion, three hundred forty-eight billion, two hundred fourteen million, seven hundred sixteen thousand, six hundred eight".