348083723196000 has 960 divisors, whose sum is σ = 1396399575707136. Its totient is φ = 84222135936000.

The previous prime is 348083723195993. The next prime is 348083723196073. The reversal of 348083723196000 is 691327380843.

348083723196000 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 8 + 3 + 7 + 23 + 1 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1863878629 + ... + 1864065371.

Almost surely, 2^{348083723196000} is an apocalyptic number.

348083723196000 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 348083723196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698199787853568).

348083723196000 is an abundant number, since it is smaller than the sum of its proper divisors (1048315852511136).

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

348083723196000 is a wasteful number, since it uses less digits than its factorization.

348083723196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187314 (or 187287 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 348083723196000 in words is "three hundred forty-eight trillion, eighty-three billion, seven hundred twenty-three million, one hundred ninety-six thousand".