348904911753216 has 2080 divisors, whose sum is σ = 1356420876912640. Its totient is φ = 87140950474752.

The previous prime is 348904911753193. The next prime is 348904911753253. The reversal of 348904911753216 is 612357119409843.

348904911753216 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 0 + 4 + 91 + 1 + 7 + 532 + 1 + 6 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 348904911753216 = 38720³ + 66256³ = 41472³ + 65232³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139394689821 + ... + 139394692323.

It is a 1-persistent number, because it is pandigital, but 2⋅348904911753216 = 697809823506432 is not.

Almost surely, 2^{348904911753216} is an apocalyptic number.

348904911753216 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 348904911753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678210438456320).

348904911753216 is an abundant number, since it is smaller than the sum of its proper divisors (1007515965159424).

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

348904911753216 is an frugal number, since it uses more digits than its factorization.

348904911753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 348904911753216 in words is "three hundred forty-eight trillion, nine hundred four billion, nine hundred eleven million, seven hundred fifty-three thousand, two hundred sixteen".