7148007066096 has 600 divisors, whose sum is σ = 23714519986080. Its totient is φ = 2065900806144.

The previous prime is 7148007066073. The next prime is 7148007066107. The reversal of 7148007066096 is 6906607008417.

It is a happy number.

7148007066096 is a `hidden beast` number, since 7 + 1 + 480 + 0 + 70 + 6 + 6 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3150288450 + ... + 3150290718.

Almost surely, 2^{7148007066096} 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 7148007066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857259993040).

7148007066096 is an abundant number, since it is smaller than the sum of its proper divisors (16566512919984).

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

7148007066096 is a wasteful number, since it uses less digits than its factorization.

7148007066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 7148007066096 in words is "seven trillion, one hundred forty-eight billion, seven million, sixty-six thousand, ninety-six".