2946056461152 has 576 divisors, whose sum is σ = 9503498188800. Its totient is φ = 795734876160.

The previous prime is 2946056461129. The next prime is 2946056461171. The reversal of 2946056461152 is 2511646506492.

It is a junction number, because it is equal to n+sod(n) for n = 2946056461095 and 2946056461104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1160320299 + ... + 1160322837.

It is an arithmetic number, because the mean of its divisors is an integer number (16499128800).

Almost surely, 2^{2946056461152} 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 2946056461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751749094400).

2946056461152 is an abundant number, since it is smaller than the sum of its proper divisors (6557441727648).

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

2946056461152 is a wasteful number, since it uses less digits than its factorization.

2946056461152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 2946056461152 in words is "two trillion, nine hundred forty-six billion, fifty-six million, four hundred sixty-one thousand, one hundred fifty-two".