109474362252288 has 1584 divisors, whose sum is σ = 371556771296256. Its totient is φ = 31924707655680.

The previous prime is 109474362252247. The next prime is 109474362252317. The reversal of 109474362252288 is 882252263474901.

109474362252288 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 7 + 4 + 3 + 6 + 22 + 522 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×109474362252288² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490916422545 + ... + 490916422767.

It is a 1-persistent number, because it is pandigital, but 2⋅109474362252288 = 218948724504576 is not.

Almost surely, 2^{109474362252288} is an apocalyptic number.

109474362252288 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 109474362252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185778385648128).

109474362252288 is an abundant number, since it is smaller than the sum of its proper divisors (262082409043968).

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

109474362252288 is an equidigital number, since it uses as much as digits as its factorization.

109474362252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 109474362252288 in words is "one hundred nine trillion, four hundred seventy-four billion, three hundred sixty-two million, two hundred fifty-two thousand, two hundred eighty-eight".