2247456719104 has 81 divisors (see below), whose sum is σ = 4594998028383. Its totient is φ = 1097091426816.

The previous prime is 2247456719087. The next prime is 2247456719119. The reversal of 2247456719104 is 4019176547422.

The square root of 2247456719104 is 1499152.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1031415487 + ... + 1031417665.

Almost surely, 2^{2247456719104} is an apocalyptic number.

2247456719104 is the 1499152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2247456719104

2247456719104 is an abundant number, since it is smaller than the sum of its proper divisors (2347541309279).

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

2247456719104 is an frugal number, since it uses more digits than its factorization.

2247456719104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 2247456719104 in words is "two trillion, two hundred forty-seven billion, four hundred fifty-six million, seven hundred nineteen thousand, one hundred four".