2748658568472 has 192 divisors, whose sum is σ = 7668186926400. Its totient is φ = 889062220800.

The previous prime is 2748658568459. The next prime is 2748658568477.

2748658568472 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 6 + 58 + 568 + 4 + 7 + 2 = 666.

2748658568472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2748658568472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748658568477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409693854 + ... + 409700562.

It is an arithmetic number, because the mean of its divisors is an integer number (39938473575).

Almost surely, 2^{2748658568472} 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 2748658568472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834093463200).

2748658568472 is an abundant number, since it is smaller than the sum of its proper divisors (4919528357928).

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

2748658568472 is a wasteful number, since it uses less digits than its factorization.

2748658568472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7931 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 2748658568472 in words is "two trillion, seven hundred forty-eight billion, six hundred fifty-eight million, five hundred sixty-eight thousand, four hundred seventy-two".