7122749647104 has 1215 divisors, whose sum is σ = 26442652213887. Its totient is φ = 1838558711808.

The previous prime is 7122749647099. The next prime is 7122749647127. The reversal of 7122749647104 is 4017469472217.

The square root of 7122749647104 is 2668848.

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

7122749647104 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 7 + 496 + 47 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3531573045504 + 3591176601600 = 1879248^2 + 1895040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 151547864809 + ... + 151547864855.

Almost surely, 2^{7122749647104} is an apocalyptic number.

7122749647104 is the 2668848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7122749647104

7122749647104 is an abundant number, since it is smaller than the sum of its proper divisors (19319902566783).

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

7122749647104 is an frugal number, since it uses more digits than its factorization.

7122749647104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7122749647104 in words is "seven trillion, one hundred twenty-two billion, seven hundred forty-nine million, six hundred forty-seven thousand, one hundred four".