7134554016 has 288 divisors, whose sum is σ = 22475653200. Its totient is φ = 2136637440.

The previous prime is 7134554003. The next prime is 7134554047. The reversal of 7134554016 is 6104554317.

7134554016 is a `hidden beast` number, since 71 + 3 + 45 + 540 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4752723600 + 2381830416 = 68940^2 + 48804^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7134554016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15476026 + ... + 15476486.

Almost surely, 2^7134554016 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 7134554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237826600).

7134554016 is an abundant number, since it is smaller than the sum of its proper divisors (15341099184).

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

7134554016 is a wasteful number, since it uses less digits than its factorization.

7134554016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7134554016 is about 84466.2892283069. The cubic root of 7134554016 is about 1925.1102666695.

The spelling of 7134554016 in words is "seven billion, one hundred thirty-four million, five hundred fifty-four thousand, sixteen".