7146116838 has 256 divisors, whose sum is σ = 20536934400. Its totient is φ = 1794078720.

The previous prime is 7146116837. The next prime is 7146116839. The reversal of 7146116838 is 8386116417.

It is an interprime number because it is at equal distance from previous prime (7146116837) and next prime (7146116839).

It is a junction number, because it is equal to n+sod(n) for n = 7146116793 and 7146116802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146116837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5776356 + ... + 5777592.

It is an arithmetic number, because the mean of its divisors is an integer number (80222400).

Almost surely, 2^7146116838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7146116838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268467200).

7146116838 is an abundant number, since it is smaller than the sum of its proper divisors (13390817562).

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

7146116838 is a wasteful number, since it uses less digits than its factorization.

7146116838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 7146116838 is about 84534.7078897183. The cubic root of 7146116838 is about 1926.1497006145.

The spelling of 7146116838 in words is "seven billion, one hundred forty-six million, one hundred sixteen thousand, eight hundred thirty-eight".