348631006010112 has 864 divisors, whose sum is σ = 1201148953804800. Its totient is φ = 98791340359680.

The previous prime is 348631006010051. The next prime is 348631006010117. The reversal of 348631006010112 is 211010600136843.

348631006010112 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 31 + 0 + 0 + 601 + 0 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (348631006010117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30187110514 + ... + 30187122062.

Almost surely, 2^{348631006010112} is an apocalyptic number.

348631006010112 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 348631006010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600574476902400).

348631006010112 is an abundant number, since it is smaller than the sum of its proper divisors (852517947794688).

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

348631006010112 is a wasteful number, since it uses less digits than its factorization.

348631006010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 348631006010112 its reverse (211010600136843), we get a palindrome (559641606146955).

The spelling of 348631006010112 in words is "three hundred forty-eight trillion, six hundred thirty-one billion, six million, ten thousand, one hundred twelve".