7146398016 has 140 divisors (see below), whose sum is σ = 21395474100. Its totient is φ = 2358374400.

The previous prime is 7146397963. The next prime is 7146398059. The reversal of 7146398016 is 6108936417.

It is a happy number.

7146398016 is a `hidden beast` number, since 7 + 1 + 4 + 639 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4032758016 + 3113640000 = 63504^2 + 55800^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 516760 + ... + 530408.

It is an arithmetic number, because the mean of its divisors is an integer number (152824815).

Almost surely, 2^7146398016 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 7146398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697737050).

7146398016 is an abundant number, since it is smaller than the sum of its proper divisors (14249076084).

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

7146398016 is a wasteful number, since it uses less digits than its factorization.

7146398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7146398016 is about 84536.3709654016. The cubic root of 7146398016 is about 1926.1749629973.

The spelling of 7146398016 in words is "seven billion, one hundred forty-six million, three hundred ninety-eight thousand, sixteen".