348266889216 has 204 divisors, whose sum is σ = 1009431247968. Its totient is φ = 115704594432.

The previous prime is 348266889169. The next prime is 348266889241. The reversal of 348266889216 is 612988662843.

348266889216 is a `hidden beast` number, since 3 + 482 + 6 + 68 + 8 + 92 + 1 + 6 = 666.

It is a super-2 number, since 2×348266889216² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220003561 + ... + 220005143.

It is an arithmetic number, because the mean of its divisors is an integer number (4948192392).

Almost surely, 2^348266889216 is an apocalyptic number.

348266889216 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 348266889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504715623984).

348266889216 is an abundant number, since it is smaller than the sum of its proper divisors (661164358752).

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

348266889216 is an equidigital number, since it uses as much as digits as its factorization.

348266889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1961 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 348266889216 in words is "three hundred forty-eight billion, two hundred sixty-six million, eight hundred eighty-nine thousand, two hundred sixteen".