3447468051456 has 704 divisors, whose sum is σ = 11069467508736. Its totient is φ = 940120473600.

The previous prime is 3447468051439. The next prime is 3447468051481. The reversal of 3447468051456 is 6541508647443.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 3447468051396 and 3447468051405.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3403225606 + ... + 3403226618.

Almost surely, 2^{3447468051456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3447468051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534733754368).

3447468051456 is an abundant number, since it is smaller than the sum of its proper divisors (7621999457280).

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

3447468051456 is a wasteful number, since it uses less digits than its factorization.

3447468051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 3447468051456 in words is "three trillion, four hundred forty-seven billion, four hundred sixty-eight million, fifty-one thousand, four hundred fifty-six".