109293456384 has 704 divisors, whose sum is σ = 395665121280. Its totient is φ = 29123297280.

The previous prime is 109293456343. The next prime is 109293456409. The reversal of 109293456384 is 483654392901.

109293456384 is a `hidden beast` number, since 10 + 92 + 93 + 456 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×109293456384² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109293456384.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191406819 + ... + 191407389.

It is an arithmetic number, because the mean of its divisors is an integer number (562024320).

Almost surely, 2^109293456384 is an apocalyptic number.

109293456384 is a gapful number since it is divisible by the number (14) 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 109293456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197832560640).

109293456384 is an abundant number, since it is smaller than the sum of its proper divisors (286371664896).

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

109293456384 is a wasteful number, since it uses less digits than its factorization.

109293456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 109293456384 in words is "one hundred nine billion, two hundred ninety-three million, four hundred fifty-six thousand, three hundred eighty-four".