109469408256 has 528 divisors, whose sum is σ = 361681384064. Its totient is φ = 32857767936.

The previous prime is 109469408231. The next prime is 109469408261. The reversal of 109469408256 is 652804964901.

109469408256 is a `hidden beast` number, since 10 + 9 + 469 + 40 + 82 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139096695 + ... + 139097481.

Almost surely, 2^109469408256 is an apocalyptic number.

109469408256 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 109469408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180840692032).

109469408256 is an abundant number, since it is smaller than the sum of its proper divisors (252211975808).

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

109469408256 is an equidigital number, since it uses as much as digits as its factorization.

109469408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 109469408256 in words is "one hundred nine billion, four hundred sixty-nine million, four hundred eight thousand, two hundred fifty-six".