9016551936 has 840 divisors, whose sum is σ = 34416318420. Its totient is φ = 2341011456.

The previous prime is 9016551883. The next prime is 9016551949. The reversal of 9016551936 is 6391556109.

9016551936 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 551 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8787937536 + 228614400 = 93744^2 + 15120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9016551891 and 9016551900.

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 83 ways as a sum of consecutive naturals, for example, 310915570 + ... + 310915598.

Almost surely, 2^9016551936 is an apocalyptic number.

9016551936 is a gapful number since it is divisible by the number (96) 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 9016551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208159210).

9016551936 is an abundant number, since it is smaller than the sum of its proper divisors (25399766484).

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

9016551936 is an equidigital number, since it uses as much as digits as its factorization.

9016551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9016551936 is about 94955.5260951147. The cubic root of 9016551936 is about 2081.3582056233.

The spelling of 9016551936 in words is "nine billion, sixteen million, five hundred fifty-one thousand, nine hundred thirty-six".