109030590448416 has 3456 divisors, whose sum is σ = 441317237760000. Its totient is φ = 25920264093696.

The previous prime is 109030590448399. The next prime is 109030590448579. The reversal of 109030590448416 is 614844095030901.

109030590448416 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 3 + 0 + 590 + 4 + 4 + 8 + 41 + 6 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 731748929110 + ... + 731748929258.

It is an arithmetic number, because the mean of its divisors is an integer number (127695960000).

Almost surely, 2^{109030590448416} is an apocalyptic number.

109030590448416 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 109030590448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220658618880000).

109030590448416 is an abundant number, since it is smaller than the sum of its proper divisors (332286647311584).

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

109030590448416 is a wasteful number, since it uses less digits than its factorization.

109030590448416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 349 counting only the distinct ones).

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

The spelling of 109030590448416 in words is "one hundred nine trillion, thirty billion, five hundred ninety million, four hundred forty-eight thousand, four hundred sixteen".