1347458112000 has 5120 divisors, whose sum is σ = 7206738739200. Its totient is φ = 238878720000.

The previous prime is 1347458111971. The next prime is 1347458112001. The reversal of 1347458112000 is 2118547431.

1347458112000 is a `hidden beast` number, since 1 + 3 + 4 + 74 + 581 + 1 + 2 + 0 + 0 + 0 = 666.

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 (1347458112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 32864831980 + ... + 32864832020.

It is an arithmetic number, because the mean of its divisors is an integer number (1407566160).

Almost surely, 2^{1347458112000} is an apocalyptic number.

1347458112000 is a gapful number since it is divisible by the number (10) 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 1347458112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603369369600).

1347458112000 is an abundant number, since it is smaller than the sum of its proper divisors (5859280627200).

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

1347458112000 is a wasteful number, since it uses less digits than its factorization.

1347458112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1347458112000 in words is "one trillion, three hundred forty-seven billion, four hundred fifty-eight million, one hundred twelve thousand".