348413654016 has 220 divisors, whose sum is σ = 1042108376320. Its totient is φ = 115950735360.

The previous prime is 348413654009. The next prime is 348413654027. The reversal of 348413654016 is 610456314843.

348413654016 is a `hidden beast` number, since 3 + 4 + 84 + 13 + 6 + 540 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57311265 + ... + 57317343.

It is an arithmetic number, because the mean of its divisors is an integer number (4736856256).

Almost surely, 2^348413654016 is an apocalyptic number.

348413654016 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 348413654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521054188160).

348413654016 is an abundant number, since it is smaller than the sum of its proper divisors (693694722304).

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

348413654016 is an equidigital number, since it uses as much as digits as its factorization.

348413654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 348413654016 its reverse (610456314843), we get a palindrome (958869968859).

The spelling of 348413654016 in words is "three hundred forty-eight billion, four hundred thirteen million, six hundred fifty-four thousand, sixteen".