109509497856 has 704 divisors, whose sum is σ = 382019328000. Its totient is φ = 30617763840.

The previous prime is 109509497837. The next prime is 109509497863. The reversal of 109509497856 is 658794905901.

109509497856 is a `hidden beast` number, since 1 + 0 + 9 + 509 + 4 + 9 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 109509497793 and 109509497802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305040205 + ... + 305040563.

Almost surely, 2^109509497856 is an apocalyptic number.

109509497856 is a gapful number since it is divisible by the number (16) 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 109509497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191009664000).

109509497856 is an abundant number, since it is smaller than the sum of its proper divisors (272509830144).

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

109509497856 is a wasteful number, since it uses less digits than its factorization.

109509497856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 109509497856 in words is "one hundred nine billion, five hundred nine million, four hundred ninety-seven thousand, eight hundred fifty-six".