916000000916 has 192 divisors, whose sum is σ = 2275494144000. Its totient is φ = 310723361280.

The previous prime is 916000000901. The next prime is 916000000919. The reversal of 916000000916 is 619000000619.

It is a happy number.

It is a super-2 number, since 2×916000000916² (a number of 25 digits) contains 22 as substring.

916000000916 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916000000919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17395115 + ... + 17447693.

It is an arithmetic number, because the mean of its divisors is an integer number (11851532000).

Almost surely, 2^916000000916 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 916000000916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137747072000).

916000000916 is an abundant number, since it is smaller than the sum of its proper divisors (1359494143084).

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

916000000916 is a wasteful number, since it uses less digits than its factorization.

916000000916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52862 (or 52860 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

It can be divided in two parts, 916000000 and 916, that multiplied together give a square (839056000000 = 916000²).

The spelling of 916000000916 in words is "nine hundred sixteen billion, nine hundred sixteen", and thus it is an aban number.