1097376436224 has 416 divisors, whose sum is σ = 3491237479680. Its totient is φ = 339384729600.

The previous prime is 1097376436159. The next prime is 1097376436229. The reversal of 1097376436224 is 4226346737901.

It is a happy number.

1097376436224 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 3 + 7 + 6 + 4 + 3 + 622 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1097376436229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133480434 + ... + 133488654.

Almost surely, 2^{1097376436224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097376436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745618739840).

1097376436224 is an abundant number, since it is smaller than the sum of its proper divisors (2393861043456).

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

1097376436224 is an equidigital number, since it uses as much as digits as its factorization.

1097376436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 1097376436224 in words is "one trillion, ninety-seven billion, three hundred seventy-six million, four hundred thirty-six thousand, two hundred twenty-four".