11062564355456 has 128 divisors (see below), whose sum is σ = 23142706927200. Its totient is φ = 5262630912000.

The previous prime is 11062564355431. The next prime is 11062564355501. The reversal of 11062564355456 is 65455346526011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11062564355456³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11062564355398 and 11062564355407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33934031 + ... + 34258481.

Almost surely, 2^{11062564355456} is an apocalyptic number.

11062564355456 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 11062564355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571353463600).

11062564355456 is an abundant number, since it is smaller than the sum of its proper divisors (12080142571744).

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

11062564355456 is an equidigital number, since it uses as much as digits as its factorization.

11062564355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324668 (or 324656 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 53.

The spelling of 11062564355456 in words is "eleven trillion, sixty-two billion, five hundred sixty-four million, three hundred fifty-five thousand, four hundred fifty-six".