7133232125448 has 512 divisors, whose sum is σ = 23586525043200. Its totient is φ = 1969049088000.

The previous prime is 7133232125447. The next prime is 7133232125543. The reversal of 7133232125448 is 8445212323317.

7133232125448 is a `hidden beast` number, since 7 + 1 + 3 + 32 + 321 + 254 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (7133232125447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 988937490 + ... + 988944702.

It is an arithmetic number, because the mean of its divisors is an integer number (46067431725).

Almost surely, 2^{7133232125448} is an apocalyptic number.

7133232125448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133232125448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793262521600).

7133232125448 is an abundant number, since it is smaller than the sum of its proper divisors (16453292917752).

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

7133232125448 is a wasteful number, since it uses less digits than its factorization.

7133232125448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7660 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 7133232125448 in words is "seven trillion, one hundred thirty-three billion, two hundred thirty-two million, one hundred twenty-five thousand, four hundred forty-eight".