348264545952 has 192 divisors, whose sum is σ = 978631041024. Its totient is φ = 108242334720.

The previous prime is 348264545947. The next prime is 348264545969. The reversal of 348264545952 is 259545462843.

It is a junction number, because it is equal to n+sod(n) for n = 348264545892 and 348264545901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11326183 + ... + 11356889.

It is an arithmetic number, because the mean of its divisors is an integer number (5097036672).

Almost surely, 2^348264545952 is an apocalyptic number.

348264545952 is a gapful number since it is divisible by the number (32) 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 348264545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489315520512).

348264545952 is an abundant number, since it is smaller than the sum of its proper divisors (630366495072).

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

348264545952 is a wasteful number, since it uses less digits than its factorization.

348264545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30891 (or 30883 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 57.

The spelling of 348264545952 in words is "three hundred forty-eight billion, two hundred sixty-four million, five hundred forty-five thousand, nine hundred fifty-two".