2945652314112 has 1248 divisors, whose sum is σ = 10109104162560. Its totient is φ = 853465890816.

The previous prime is 2945652314071. The next prime is 2945652314147. The reversal of 2945652314112 is 2114132565492.

2945652314112 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 6 + 523 + 1 + 4 + 112 = 666.

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, 101574217714 + ... + 101574217742.

It is an arithmetic number, because the mean of its divisors is an integer number (8100243720).

Almost surely, 2^{2945652314112} 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 2945652314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054552081280).

2945652314112 is an abundant number, since it is smaller than the sum of its proper divisors (7163451848448).

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

2945652314112 is an frugal number, since it uses more digits than its factorization.

2945652314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 74 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 2945652314112 in words is "two trillion, nine hundred forty-five billion, six hundred fifty-two million, three hundred fourteen thousand, one hundred twelve".