2745688768144 has 405 divisors, whose sum is σ = 6765978205539. Its totient is φ = 1076129873280.

The previous prime is 2745688768129. The next prime is 2745688768159. The reversal of 2745688768144 is 4418678865472.

It is a happy number.

The square root of 2745688768144 is 1657012.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2745688768129) and next prime (2745688768159).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33080587527 + ... + 33080587609.

Almost surely, 2^{2745688768144} is an apocalyptic number.

2745688768144 is the 1657012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745688768144

2745688768144 is an abundant number, since it is smaller than the sum of its proper divisors (4020289437395).

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

2745688768144 is an equidigital number, since it uses as much as digits as its factorization.

2745688768144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 146 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 70.

The spelling of 2745688768144 in words is "two trillion, seven hundred forty-five billion, six hundred eighty-eight million, seven hundred sixty-eight thousand, one hundred forty-four".