348814474140000 has 960 divisors, whose sum is σ = 1284119814523392. Its totient is φ = 82135296000000.

The previous prime is 348814474139987. The next prime is 348814474140023. The reversal of 348814474140000 is 41474418843.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14676408117 + ... + 14676431883.

Almost surely, 2^{348814474140000} is an apocalyptic number.

348814474140000 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 348814474140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642059907261696).

348814474140000 is an abundant number, since it is smaller than the sum of its proper divisors (935305340383392).

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

348814474140000 is a wasteful number, since it uses less digits than its factorization.

348814474140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24449 (or 24426 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 348814474140000 in words is "three hundred forty-eight trillion, eight hundred fourteen billion, four hundred seventy-four million, one hundred forty thousand".