7245222096096 has 288 divisors, whose sum is σ = 22160394704448. Its totient is φ = 2239501271040.

The previous prime is 7245222096023. The next prime is 7245222096113. The reversal of 7245222096096 is 6906902225427.

7245222096096 is a `hidden beast` number, since 7 + 2 + 4 + 5 + 2 + 2 + 20 + 9 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67836016 + ... + 67942736.

It is an arithmetic number, because the mean of its divisors is an integer number (76945814946).

Almost surely, 2^{7245222096096} 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 7245222096096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080197352224).

7245222096096 is an abundant number, since it is smaller than the sum of its proper divisors (14915172608352).

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

7245222096096 is a wasteful number, since it uses less digits than its factorization.

7245222096096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107074 (or 107063 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 7245222096096 in words is "seven trillion, two hundred forty-five billion, two hundred twenty-two million, ninety-six thousand, ninety-six".