1097320924224 has 420 divisors, whose sum is σ = 3805294247664. Its totient is φ = 313509595392.

The previous prime is 1097320924187. The next prime is 1097320924253. The reversal of 1097320924224 is 4224290237901.

1097320924224 is a `hidden beast` number, since 10 + 9 + 7 + 3 + 209 + 2 + 422 + 4 = 666.

It is a super-3 number, since 3×1097320924224³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1097320924224.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37325659 + ... + 37355045.

Almost surely, 2^{1097320924224} is an apocalyptic number.

1097320924224 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 1097320924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902647123832).

1097320924224 is an abundant number, since it is smaller than the sum of its proper divisors (2707973323440).

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

1097320924224 is an frugal number, since it uses more digits than its factorization.

1097320924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29442 (or 29399 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1097320924224 in words is "one trillion, ninety-seven billion, three hundred twenty million, nine hundred twenty-four thousand, two hundred twenty-four".