7481558016 has 297 divisors, whose sum is σ = 23389498951. Its totient is φ = 2302869504.

The previous prime is 7481557997. The next prime is 7481558017. The reversal of 7481558016 is 6108551847.

The square root of 7481558016 is 86496.

It is a perfect power (a square), and thus also a powerful number.

7481558016 is a `hidden beast` number, since 7 + 4 + 81 + 558 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1874543616 + 5607014400 = 43296^2 + 74880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7481558017) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141161446 + ... + 141161498.

Almost surely, 2^7481558016 is an apocalyptic number.

7481558016 is the 86496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7481558016

7481558016 is an abundant number, since it is smaller than the sum of its proper divisors (15907940935).

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

7481558016 is a wasteful number, since it uses less digits than its factorization.

7481558016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The cubic root of 7481558016 is about 1955.8281053855.

The spelling of 7481558016 in words is "seven billion, four hundred eighty-one million, five hundred fifty-eight thousand, sixteen".