7481480105484 has 288 divisors, whose sum is σ = 24549045760512. Its totient is φ = 1864764288000.

The previous prime is 7481480105483. The next prime is 7481480105513. The reversal of 7481480105484 is 4845010841847.

7481480105484 is a `hidden beast` number, since 7 + 4 + 8 + 1 + 4 + 80 + 10 + 548 + 4 = 666.

It is a super-3 number, since 3×7481480105484³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7481480105484.

It is not an unprimeable number, because it can be changed into a prime (7481480105483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6393199 + ... + 7472345.

It is an arithmetic number, because the mean of its divisors is an integer number (85239742224).

Almost surely, 2^{7481480105484} 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 7481480105484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12274522880256).

7481480105484 is an abundant number, since it is smaller than the sum of its proper divisors (17067565655028).

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

7481480105484 is a wasteful number, since it uses less digits than its factorization.

7481480105484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079277 (or 1079272 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 7481480105484 in words is "seven trillion, four hundred eighty-one billion, four hundred eighty million, one hundred five thousand, four hundred eighty-four".