7172131938048 has 1728 divisors, whose sum is σ = 27836650598400. Its totient is φ = 1800279613440.

The previous prime is 7172131938011. The next prime is 7172131938053. The reversal of 7172131938048 is 8408391312717.

7172131938048 is a `hidden beast` number, since 7 + 1 + 7 + 213 + 1 + 9 + 380 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 7172131937985 and 7172131938003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14727170061 + ... + 14727170547.

It is an arithmetic number, because the mean of its divisors is an integer number (16109172800).

Almost surely, 2^{7172131938048} 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 7172131938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918325299200).

7172131938048 is an abundant number, since it is smaller than the sum of its proper divisors (20664518660352).

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

7172131938048 is a wasteful number, since it uses less digits than its factorization.

7172131938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 7172131938048 in words is "seven trillion, one hundred seventy-two billion, one hundred thirty-one million, nine hundred thirty-eight thousand, forty-eight".