7471287113472 has 1512 divisors, whose sum is σ = 28350520243584. Its totient is φ = 1922179424256.

The previous prime is 7471287113461. The next prime is 7471287113489. The reversal of 7471287113472 is 2743117821747.

7471287113472 is a `hidden beast` number, since 7 + 4 + 7 + 1 + 287 + 11 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×7471287113472² (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 167 ways as a sum of consecutive naturals, for example, 9493375863 + ... + 9493376649.

Almost surely, 2^{7471287113472} is an apocalyptic number.

7471287113472 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 7471287113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175260121792).

7471287113472 is an abundant number, since it is smaller than the sum of its proper divisors (20879233130112).

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

7471287113472 is an equidigital number, since it uses as much as digits as its factorization.

7471287113472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 855 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The spelling of 7471287113472 in words is "seven trillion, four hundred seventy-one billion, two hundred eighty-seven million, one hundred thirteen thousand, four hundred seventy-two".