3126848456160 has 576 divisors, whose sum is σ = 13000132454400. Its totient is φ = 699713095680.

The previous prime is 3126848456143. The next prime is 3126848456167. The reversal of 3126848456160 is 616548486213.

3126848456160 is a `hidden beast` number, since 3 + 1 + 26 + 8 + 4 + 8 + 456 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3126848456097 and 3126848456106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126848456167) 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, 5278641 + ... + 5841039.

It is an arithmetic number, because the mean of its divisors is an integer number (22569674400).

Almost surely, 2^{3126848456160} is an apocalyptic number.

3126848456160 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 3126848456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500066227200).

3126848456160 is an abundant number, since it is smaller than the sum of its proper divisors (9873283998240).

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

3126848456160 is a wasteful number, since it uses less digits than its factorization.

3126848456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562453 (or 562433 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3126848456160 in words is "three trillion, one hundred twenty-six billion, eight hundred forty-eight million, four hundred fifty-six thousand, one hundred sixty".