348386267013120 has 896 divisors, whose sum is σ = 1490083182489600. Its totient is φ = 75440001908736.

The previous prime is 348386267013119. The next prime is 348386267013121. The reversal of 348386267013120 is 21310762683843.

It is a happy number.

348386267013120 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 8 + 626 + 7 + 0 + 1 + 3 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348386267013119) and next prime (348386267013121).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is not an unprimeable number, because it can be changed into a prime (348386267013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145903077 + ... + 148271643.

Almost surely, 2^{348386267013120} is an apocalyptic number.

348386267013120 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 348386267013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745041591244800).

348386267013120 is an abundant number, since it is smaller than the sum of its proper divisors (1141696915476480).

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

348386267013120 is a wasteful number, since it uses less digits than its factorization.

348386267013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368633 (or 2368603 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 348386267013120 in words is "three hundred forty-eight trillion, three hundred eighty-six billion, two hundred sixty-seven million, thirteen thousand, one hundred twenty".