916350382080 has 2080 divisors, whose sum is σ = 4055531065344. Its totient is φ = 193396211712.

The previous prime is 916350382069. The next prime is 916350382081. The reversal of 916350382080 is 80283053619.

It is a happy number.

916350382080 is a `hidden beast` number, since 9 + 1 + 63 + 503 + 8 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (916350382081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12552744924 + ... + 12552744996.

Almost surely, 2^916350382080 is an apocalyptic number.

916350382080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916350382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027765532672).

916350382080 is an abundant number, since it is smaller than the sum of its proper divisors (3139180683264).

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

916350382080 is a wasteful number, since it uses less digits than its factorization.

916350382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 916350382080 in words is "nine hundred sixteen billion, three hundred fifty million, three hundred eighty-two thousand, eighty".