7148532424032 has 72 divisors (see below), whose sum is σ = 21524441394456. Its totient is φ = 2242676837376.

The previous prime is 7148532424009. The next prime is 7148532424051. The reversal of 7148532424032 is 2304242358417.

7148532424032 is a `hidden beast` number, since 7 + 1 + 4 + 8 + 532 + 42 + 40 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7148532424032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730033138 + ... + 730042929.

It is an arithmetic number, because the mean of its divisors is an integer number (298950574923).

Almost surely, 2^{7148532424032} is an apocalyptic number.

7148532424032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7148532424032 is an abundant number, since it is smaller than the sum of its proper divisors (14375908970424).

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

7148532424032 is a wasteful number, since it uses less digits than its factorization.

7148532424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460076100 (or 1460076089 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 7148532424032 in words is "seven trillion, one hundred forty-eight billion, five hundred thirty-two million, four hundred twenty-four thousand, thirty-two".