7291348934112 has 144 divisors (see below), whose sum is σ = 21114553824000. Its totient is φ = 2386277068032.

The previous prime is 7291348934101. The next prime is 7291348934117. The reversal of 7291348934112 is 2114398431927.

7291348934112 is a `hidden beast` number, since 7 + 2 + 9 + 13 + 489 + 34 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7291348934117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3177439 + ... + 4967777.

It is an arithmetic number, because the mean of its divisors is an integer number (146628846000).

Almost surely, 2^{7291348934112} is an apocalyptic number.

7291348934112 is a gapful number since it is divisible by the number (72) 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 7291348934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557276912000).

7291348934112 is an abundant number, since it is smaller than the sum of its proper divisors (13823204889888).

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

7291348934112 is a wasteful number, since it uses less digits than its factorization.

7291348934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790613 (or 1790602 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 7291348934112 in words is "seven trillion, two hundred ninety-one billion, three hundred forty-eight million, nine hundred thirty-four thousand, one hundred twelve".