11097207435648 has 384 divisors, whose sum is σ = 30893364403200. Its totient is φ = 3528974131200.

The previous prime is 11097207435623. The next prime is 11097207435683. The reversal of 11097207435648 is 84653470279011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11097207435648² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10680661113 + ... + 10680662151.

It is an arithmetic number, because the mean of its divisors is an integer number (80451469800).

It is a 1-persistent number, because it is pandigital, but 2⋅11097207435648 = 22194414871296 is not.

Almost surely, 2^{11097207435648} 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 11097207435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446682201600).

11097207435648 is an abundant number, since it is smaller than the sum of its proper divisors (19796156967552).

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

11097207435648 is a wasteful number, since it uses less digits than its factorization.

11097207435648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 11097207435648 in words is "eleven trillion, ninety-seven billion, two hundred seven million, four hundred thirty-five thousand, six hundred forty-eight".