109653481728 has 432 divisors, whose sum is σ = 386840702976. Its totient is φ = 30315202560.

The previous prime is 109653481687. The next prime is 109653481757. The reversal of 109653481728 is 827184356901.

109653481728 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 534 + 81 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13495075 + ... + 13503197.

It is a 1-persistent number, because it is pandigital, but 2⋅109653481728 = 219306963456 is not.

Almost surely, 2^109653481728 is an apocalyptic number.

109653481728 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 109653481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193420351488).

109653481728 is an abundant number, since it is smaller than the sum of its proper divisors (277187221248).

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

109653481728 is an frugal number, since it uses more digits than its factorization.

109653481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 109653481728 in words is "one hundred nine billion, six hundred fifty-three million, four hundred eighty-one thousand, seven hundred twenty-eight".