16291365408 has 192 divisors, whose sum is σ = 48497581440. Its totient is φ = 5385968640.

The previous prime is 16291365373. The next prime is 16291365469. The reversal of 16291365408 is 80456319261.

16291365408 is a `hidden beast` number, since 1 + 629 + 13 + 6 + 5 + 4 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9167016 + ... + 9168792.

It is an arithmetic number, because the mean of its divisors is an integer number (252591570).

Almost surely, 2^16291365408 is an apocalyptic number.

16291365408 is a gapful number since it is divisible by the number (18) 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 16291365408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24248790720).

16291365408 is an abundant number, since it is smaller than the sum of its proper divisors (32206216032).

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

16291365408 is an equidigital number, since it uses as much as digits as its factorization.

16291365408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1913 counting only the distinct ones).

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

The spelling of 16291365408 in words is "sixteen billion, two hundred ninety-one million, three hundred sixty-five thousand, four hundred eight".