348053070720000 has 440 divisors, whose sum is σ = 1168368021753856. Its totient is φ = 92083267584000.

The previous prime is 348053070719971. The next prime is 348053070720007. The reversal of 348053070720000 is 27070350843.

It is a super-2 number, since 2×348053070720000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348053070720007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243126309 + ... + 244553691.

Almost surely, 2^{348053070720000} is an apocalyptic number.

348053070720000 is a gapful number since it is divisible by the number (30) 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 348053070720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584184010876928).

348053070720000 is an abundant number, since it is smaller than the sum of its proper divisors (820314951033856).

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

348053070720000 is a wasteful number, since it uses less digits than its factorization.

348053070720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427553 (or 1427520 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 348053070720000 in words is "three hundred forty-eight trillion, fifty-three billion, seventy million, seven hundred twenty thousand".