7144672394304 has 63 divisors (see below), whose sum is σ = 20479097286453. Its totient is φ = 2381536081152.

The previous prime is 7144672394297. The next prime is 7144672394311. The reversal of 7144672394304 is 4034932764417.

It is a happy number.

The square root of 7144672394304 is 2672952.

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

7144672394304 is a `hidden beast` number, since 7 + 1 + 44 + 67 + 239 + 4 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (7144672394297) and next prime (7144672394311).

It can be written as a sum of positive squares in only one way, i.e., 7021016078400 + 123656315904 = 2649720^2 + 351648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64095162 + ... + 64206534.

Almost surely, 2^{7144672394304} is an apocalyptic number.

7144672394304 is the 2672952-nd square number.

It is an amenable number.

7144672394304 is an abundant number, since it is smaller than the sum of its proper divisors (13334424892149).

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

7144672394304 is an frugal number, since it uses more digits than its factorization.

7144672394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222764 (or 111378 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

It can be divided in two parts, 714467 and 2394304, that added together give a triangular number (3108771 = T₂₄₉₃).

The spelling of 7144672394304 in words is "seven trillion, one hundred forty-four billion, six hundred seventy-two million, three hundred ninety-four thousand, three hundred four".