109084681633536 has 1728 divisors, whose sum is σ = 405533786112000. Its totient is φ = 27487097487360.

The previous prime is 109084681633511. The next prime is 109084681633541. The reversal of 109084681633536 is 635336186480901.

109084681633536 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 4 + 68 + 1 + 6 + 33 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98898169561 + ... + 98898170663.

It is an arithmetic number, because the mean of its divisors is an integer number (234683904000).

Almost surely, 2^{109084681633536} is an apocalyptic number.

109084681633536 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 109084681633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202766893056000).

109084681633536 is an abundant number, since it is smaller than the sum of its proper divisors (296449104478464).

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

109084681633536 is a wasteful number, since it uses less digits than its factorization.

109084681633536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 109084681633536 in words is "one hundred nine trillion, eighty-four billion, six hundred eighty-one million, six hundred thirty-three thousand, five hundred thirty-six".